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## Khan, Rahmat Ali

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 Author ID: khan.rahmat-ali Published as: Ali Khan, Rahmat; Ali Khan, Rehmat; Khan, R.; Khan, R. A.; Khan, Rahmat; Khan, Rahmat A.; Khan, Rahmat Ali; Khan, Rehmat Ali
 Documents Indexed: 128 Publications since 2001
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#### Co-Authors

 21 single-authored 30 Shah, Kamal 18 Khalil, Hammad 11 Ahmad, Bashir 11 Ur Rehman, Mujeeb 9 Băleanu, Dumitru I. 9 Khan, Hasib 8 Asif, Naseer Ahmad 7 Eloe, Paul W. 6 Ali, Amjad 6 Jafari, Hossein 5 Khan, Aziz 5 Sivasundaram, Seenith 4 Al-Smadi, Mohammed H. 4 Henderson, Johnny Lee 4 Nieto Roig, Juan Jose 4 Webb, Jeffrey Ronald Leslie 3 Alipour, Mohsen 3 Freihat, Asad A. 3 Li, Yongjin 3 Rafique, Mohammad 3 Samina 2 Ali, Nigar 2 Rashidi, Mohammad Mehdi 2 Rodríguez-López, Rosana 2 Usman, Muhammad 2 Zada, Mian Bahadur 2 Zeb, Salman 1 Abdeljawad, Thabet 1 Agarwal, Ravi P. 1 Arif, Muhammad 1 Aslam, Muhammad Zubair 1 Fatima, Bibi 1 Gul, Zamin 1 Hashim, Ishak 1 Iqbal, Muhammad Kashif 1 Karimi, Kobra 1 Khan, Amir Sultan 1 Khan, Tahir Saeed 1 Kumam, Poom 1 Kumam, Wiyada 1 Moaddy, Khaled 1 Momani, Shaher M. 1 Naz, Uzma 1 Otero-Espinar, Victoria 1 Rana, Shazia 1 Saker, Samir H. 1 Samet, Bessem 1 Shawagfeh, Nabil T. 1 Shirzoi, Akhtyar Gul 1 Torres, Angela 1 Tunç, Cemil 1 Ullah, Ibrar 1 Wang, Jinrong
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#### Serials

 7 Dynamic Systems and Applications 7 Advances in Difference Equations 6 Computational Methods for Differential Equations 5 Applied Mathematics and Computation 5 Electronic Journal of Qualitative Theory of Differential Equations 5 Boundary Value Problems 4 Communications on Applied Nonlinear Analysis 4 International Journal of Applied and Computational Mathematics 3 Computers & Mathematics with Applications 3 Mathematical Methods in the Applied Sciences 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applied Mathematical Modelling 3 Journal of Mathematics. The Punjab University 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Mathematical Analysis and Applications 2 Chaos, Solitons and Fractals 2 Journal of the Korean Mathematical Society 2 Bulletin of the Korean Mathematical Society 2 International Journal of Computer Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete Dynamics in Nature and Society 2 Applied Mathematical Sciences (Ruse) 2 Journal of Nonlinear Science and Applications 2 Bulletin of Mathematical Analysis and Applications 2 Fractional Differential Calculus 1 Indian Journal of Pure & Applied Mathematics 1 Archivum Mathematicum 1 Canadian Mathematical Bulletin 1 Numerical Functional Analysis and Optimization 1 Southeast Asian Bulletin of Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Applied Mathematics and Stochastic Analysis 1 Computational Mathematics and Modeling 1 Panamerican Mathematical Journal 1 Complexity 1 Journal of Difference Equations and Applications 1 Nonlinear Studies 1 Communications in Applied Analysis 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 International Journal of Mathematics, Game Theory and Algebra 1 LMS Journal of Computation and Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Nonlinear Dynamics and Systems Theory 1 Entropy 1 Mathematical Sciences Research Journal 1 International Journal of Computational Methods 1 Journal of Concrete and Applicable Mathematics 1 Applications and Applied Mathematics 1 Applied and Computational Mathematics 1 International Journal of Nonlinear Science 1 Differential Equations and Applications 1 Journal of Applied Mathematics & Informatics 1 General Mathematics Notes 1 Journal of Mathematical Extension 1 Chinese Journal of Mathematics
all top 5

#### Fields

 93 Ordinary differential equations (34-XX) 26 Operator theory (47-XX) 24 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 10 Real functions (26-XX) 6 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

92 Publications have been cited 806 times in 566 Documents Cited by Year
Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations. Zbl 1214.34007
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2010
The Legendre wavelet method for solving fractional differential equations. Zbl 1222.65063
Ur Rehman, Mujeeb; Ali Khan, Rahmat
2011
A note on boundary value problems for a coupled system of fractional differential equations. Zbl 1221.34018
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2011
A numerical method for solving boundary value problems for fractional differential equations. Zbl 1243.65095
ur Rehman, Mujeeb; Khan, Rahmat Ali
2012
Existence of at least three solutions of a second-order three-point boundary value problem. Zbl 1101.34005
Khan, Rahmat Ali; Webb, J. R. L.
2006
Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations. Zbl 1353.34028
Shah, Kamal; Khalil, Hammad; Khan, Rahmat Ali
2015
A new method based on Legendre polynomials for solutions of the fractional two-dimensional heat conduction equation. Zbl 1366.74084
Khalil, Hammad; Khan, Rahmat Ali
2014
Existence and uniqueness of positive solutions to a coupled system of nonlinear fractional order differential equations with anti periodic boundary conditions. Zbl 1336.47071
Shah, Kamal; Khan, Rahmat Ali
2015
Positive solutions to singular system with four-point coupled boundary conditions. Zbl 1232.34034
Asif, Naseer Ahmad; Khan, Rahmat Ali
2012
Three point boundary value problems for nonlinear fractional differential equations. Zbl 1249.34012
Rehman, Mujeeb ur; Khan, Rahmat Ali; Asif, Naseer Ahmad
2011
Existence criterion for the solutions of fractional order $$p$$-Laplacian boundary value problems. Zbl 1381.34016
Jafari, Hossein; Baleanu, Dumitru; Khan, Hasib; Khan, Rahmat Ali; Khan, Aziz
2015
Existence and approximation of solution of three-point boundary value problems on time scales. Zbl 1148.34007
Khan, Rahmat Ali; Nieto, Juan J.; Otero-Espinar, V.
2008
Existence and stability of solution to a toppled systems of differential equations of non-integer order. Zbl 1361.34006
Ali, Amjad; Samet, Bessem; Shah, Kamal; Khan, Rahmat Ali
2017
On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions. Zbl 1422.34021
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossein; Khan, Rahmat Ali; Alipour, Mohsen
2015
On the existence of solution for fractional differential equations of order $$3<\delta_{1}\leq 4$$. Zbl 1422.34020
Baleanu, Dumitru; Agarwal, Ravi P.; Khan, Hasib; Khan, Rahmat Ali; Jafari, Hossein
2015
The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions. Zbl 1055.34033
Khan, Rahmat Ali
2003
A new method based on Legendre polynomials for solution of system of fractional order partial differential equations. Zbl 1328.65253
Khan, Rahmat Ali; Khalil, Hammad
2014
Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems. Zbl 1339.34013
Shah, Kamal; Ali, Amjad; Khan, Rahmat Ali
2016
Existence and uniqueness of solutions for nonlinear fractional differential equations with integral boundary conditions. Zbl 1412.34034
Khan, Rahmat Ali; Ur Rehman, Mujeeb; Henderson, Johnny
2011
The generalized quasilinearization technique for a second order differential equation with separated boundary conditions. Zbl 1163.34006
Khan, Rahmat Ali
2006
Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions. Zbl 1027.34013
Ahmad, Bashir; Khan, Rahmat Ali; Eloe, Paul W.
2002
Existence and approximation of solutions of second-order nonlinear four point boundary value problems. Zbl 1109.34013
Khan, Rahmat Ali; Rodriguez Lopez, Rosana
2005
Generalized approximations and rapid convergence of solutions of $$m$$-point boundary value problems. Zbl 1129.65052
Khan, Rahmat Ali
2007
Analytical solutions of fractional order diffusion equations by natural transform method. Zbl 1397.35339
Shah, Kamal; Khalil, Hammad; Khan, Rahmat Ali
2018
Existence and uniqueness results to a coupled system of fractional order boundary value problems by topological degree theory. Zbl 06648989
Shah, Kamal; Khan, Rahmat Ali
2016
Numerical solutions to initial and boundary value problems for linear fractional partial differential equations. Zbl 1427.65299
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2013
Existence and multiplicity results for some three-point boundary value problems. Zbl 1117.34009
Ali Khan, Rahmat; Rafique, M.
2007
Numerical multistep approach for solving fractional partial differential equations. Zbl 1404.65210
Al-Smadi, Mohammed; Freihat, Asad; Khalil, Hammad; Momani, Shaher; Ali Khan, Rahmat
2017
Approximations and rapid convergence of solutions of nonlinear three point boundary value problems. Zbl 1117.65112
Khan, Rahmat Ali
2007
Approximation of solution of time fractional order three-dimensional heat conduction problems with Jacobi polynomials. Zbl 1337.65166
Khalil, Hammad; Khan, Rahmat Ali; Al-Smadi, Mohammed H.; Freihat, Asad A.
2015
Positive solutions of four-point singular boundary value problems. Zbl 1152.34016
Khan, Rahmat Ali
2008
Existence of at least three solutions of nonlinear three point boundary value problems with super-quadratic growth. Zbl 1116.34012
Khan, Rahmat Ali; Webb, J. R. L.
2007
Generalized quasilinearization method for a first order differential equation with integral boundary condition. Zbl 1084.34007
Ahmad, Bashir; Khan, Rahmat Ali; Sivasundaram, S.
2005
Generalized quasilinearization method for nonlinear functional differential equations. Zbl 1048.34105
Ahmad, Bashir; Ali Khan, Rehmat; Sivasundaram, S.
2003
Iterative scheme for a coupled system of fractional-order differential equations with three-point boundary conditions. Zbl 1395.34009
Shah, Kamal; Khan, Rahmat Ali
2018
Existence results and Hyers-Ulam stability to a class of nonlinear arbitrary order differential equations. Zbl 1412.34035
Kumam, Poom; Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali
2017
A generalized scheme based on shifted Jacobi polynomials for numerical simulation of coupled systems of multi-term fractional-order partial differential equations. Zbl 1377.65111
Shah, Kamal; Khalil, Hammad; Khan, Rahmat Ali
2017
Approximate solution of linear and nonlinear fractional differential equations under $$m$$-point local and nonlocal boundary conditions. Zbl 1419.34087
Khalil, Hammad; Khan, Rahmat Ali; Baleanu, Dumitru; Saker, Samir H.
2016
The use of Jacobi polynomials in the numerical solution of coupled system of fractional differential equations. Zbl 1321.65112
Khalil, Hammad; Khan, Rahmat Ali
2015
Positive solutions for a system of singular second order nonlocal boundary value problems. Zbl 1206.34044
Asif, Naseer Ahmad; Eloe, Paul W.; Khan, Rahmat Ali
2010
Existence of positive solution and Hyers-Ulam stability for a nonlinear singular-delay-fractional differential equation. Zbl 1459.34024
Khan, Hasib; Abdeljawad, Thabet; Aslam, Muhammad; Khan, Rahmat Ali; Khan, Aziz
2019
Existence of positive solutions to a system of singular boundary value problems. Zbl 1215.34029
Asif, Naseer Ahmad; Khan, Rahmat Ali; Henderson, Johnny
2010
Existence and approximation of solutions of nonlinear problems with integral boundary conditions. Zbl 1090.34012
Khan, Rahmat Ali
2005
Study of solution to a toppled system of fractional differential equations with integral boundary conditions. Zbl 1397.34026
Shah, Kamal; Khan, Rahmat Ali
2017
Existence and uniqueness of solutions for fractional order $$m$$-point boundary value problems. Zbl 1415.34026
Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali
2015
Three-point boundary value problems for higher order nonlinear fractional differential equations. Zbl 1261.34006
Khan, Rahmat Ali
2013
Eventual periodicity of forced oscillations of the Korteweg-de Vries type equation. Zbl 1236.65153
Khan, Rahmat Ali; Usman, Muhammad
2012
Existence of multiple positive solutions for a general system of fractional differential equations. Zbl 1235.34021
Khan, Rahmat Ali; Rehman, Mujeeb ur
2011
Positive solutions for a class of coupled system of singular three-point boundary value problems. Zbl 1181.34030
Asif, Naseer Ahmad; Khan, Rahmat Ali
2009
Existence and approximation of solutions of second order nonlinear Neumann problems. Zbl 1075.34016
Khan, Rahmat Ali
2005
Approximate solution of boundary value problems using shifted Legendre polynomials. Zbl 1390.42002
Khalil, Hammad; Shah, Kamal; Khan, Rahmat Ali
2017
Existence of positive solution to a class of boundary value problems of fractional differential equations. Zbl 1424.34010
Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali
2016
Toward the approximate solution for fractional order nonlinear mixed derivative and nonlocal boundary value problems. Zbl 1422.65296
Khalil, Hammad; Al-Smadi, Mohammed; Moaddy, Khaled; Khan, Rahmat Ali; Hashim, Ishak
2016
On the exact solution of wave equations on Cantor sets. Zbl 1338.35459
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali
2015
New operational matrix for shifted Legendre polynomials and fractional differential equations with variable coefficients. Zbl 1337.65167
Khalil, Hammad; Khan, Rahmat Ali; Al-Smadi, Mohammed H.; Freihat, Asad A.; Shawagfeh, Nabil
2015
Uniqueness implies existence and uniqueness conditions for a class of $$(k+j)$$-point boundary value problems for $$n$$-th order differential equations. Zbl 1254.34029
Eloe, Paul W.; Henderson, Johnny; Khan, Rahmat Ali
2012
Existence and approximation of solutions to three-point boundary value problems for fractional differential equations. Zbl 1340.35371
Khan, Rahmat
2011
Multiplicity results for positive solutions of a coupled system of singular boundary value problems. Zbl 1260.34039
Asif, Naseer Ahmad; Khan, Rahmat Ali
2010
Upper and lower solutions method for second order nonlinear four point boundary value problems. Zbl 1118.34009
Ali Khan, Rahmat; Nieto, Juan J.; Rodríguez-López, Rosana
2006
Investigating a coupled hybrid system of nonlinear fractional differential equations. Zbl 1417.34014
Kumam, Wiyada; Bahadur Zada, Mian; Shah, Kamal; Khan, Rahmat Ali
2018
Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations. Zbl 1446.65053
Shah, Kamal; Wang, Jinrong; Khalil, Hammad; Khan, Rahmat Ali
2018
Existence theory to a coupled system of higher order fractional hybrid differential equations by topological degree theory. Zbl 1400.34015
Zada, Mian Bahadur; Shah, Kamal; Khan, Rahmat Ali
2018
Iterative technique for coupled integral boundary value problem of non-integer order differential equations. Zbl 1422.34051
Li, Yongjin; Shah, Kamal; Khan, Rahmat Ali
2017
Application of topological degree method for solutions of coupled systems of multipoints boundary value problems of fractional order hybrid differential equations. Zbl 1373.34010
Iqbal, Muhammad; Li, Yongjin; Shah, Kamal; Khan, Rahmat Ali
2017
Study of a class of arbitrary order differential equations by a coincidence degree method. Zbl 1372.34005
Ali, Nigar; Shah, Kamal; Baleanu, Dumitru; Arif, Muhammad; Khan, Rahmat Ali
2017
Existence of positive solutions to a coupled system of nonlinear fractional order differential equations with $$m$$-point boundary conditions. Zbl 1411.34009
Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali
2016
Existence and uniqueness of solutions for $$p$$-Laplacian fractional order boundary value problems. Zbl 1415.34017
Khan, Rahmat Ali; Khan, Aziz
2014
New operational matrix of integrations and coupled system of Fredholm integral equations. Zbl 1301.65131
Khalil, Hammad; Khan, Rahmat Ali
2014
Extrema of Young’s modulus in hexagonal materials. Zbl 1291.74025
Khan, R. A.; Ahmad, F.
2012
Iterative scheme for solution to the Falkner-Skan boundary layer wedge flow problem. Zbl 1419.76503
Khan, Rahmat Ali
2010
Positive solutions to coupled system of fractional differential equations. Zbl 1230.34008
Rehman, Mujeeb ur; Khan, Rahmat Ali
2010
Generalized approximation method for heat radiation equations. Zbl 1166.65359
Khan, Rahmat Ali
2009
Approximation and rapid convergence of solutions for periodic nonlinear problems. Zbl 1155.34010
Khan, Rahmat Ali; Nieto, Juan J.; Torres, Angela
2008
Vortex core behaviour in confined and unconfined geometries: A quasi-one-dimensional model. Zbl 1042.76009
Darmofal, D. L.; Khan, R.; Greitzer, E. M.; Tan, C. S.
2001
Hyers-Ulam stability of a class of nonlocal boundary value problem having triple solutions. Zbl 1384.34009
Ali, Nigar; Fatima, Bi Bi; Shah, Kamal; Khan, Rahmat Ali
2018
Solution of fractional order heat equation via triple Laplace transform in 2 dimensions. Zbl 1381.35223
Khan, Tahir; Shah, Kamal; Khan, Amir; Khan, Rahmat Ali
2018
Existence of solution to a coupled system of hybrid fractional differential equations. Zbl 1411.34010
Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali
2017
Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations. Zbl 1424.34042
Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali
2017
Numerical scheme for solution of coupled system of initial value fractional order Fredholm integro differential equations with smooth solutions. Zbl 1355.65178
Khalil, H.; Khan, Rahmat Ali
2015
Higher order nonlocal nonlinear boundary value problems for fractional differential equations. Zbl 1319.34011
Khan, Rahmat Ali
2014
Existence and uniqueness conditions for a class of $$(k + 4j)$$-point $$n$$-th order boundary value problems. Zbl 1312.34049
Eloe, P.; Henderson, J.; Khan, R. A.
2012
Positive solutions of nonlocal boundary value problem for higher order fractional differential system. Zbl 1253.34017
Rehman, Mujeeb Ur; Khan, Rahmat Ali; Eloe, Paul W.
2011
Positive solutions to nonlinear higher-order nonlocal boundary value problems for fractional differential equations. Zbl 1208.34002
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2010
Quasilinearization method and nonlocal singular three point boundary value problems. Zbl 1202.34029
Khan, Rahmat Ali
2009
The generalized approximation method and nonlinear heat transfer equations. Zbl 1186.34041
Khan, R. A.
2009
Generalized approximations for nonlinear three-point boundary value problems. Zbl 1149.65055
Ali Khan, Rahmat
2008
Generalized quasilinearization for periodic problems. Zbl 1140.34004
Khan, Rahmat Ali
2007
Multiplicity results for second order nonlinear boundary value problems via Leggett-Williams fixed-point theorem. Zbl 1145.34014
Khan, Rahmat Ali; Nieto, Juan J.; Rafique, M.
2007
$$K$$-th order monotone iterative scheme for boundary value problems associated with second order nonlinear functional differential equations. Zbl 1100.34051
Ahmad, Bashir; Ali Khan, Rahmat; Sivasundaram, S.
2005
Generalized quasilinearization method for nonlinear terminal value problems. Zbl 1077.34014
Ahmad, Bashir; Khan, Rahmat Ali
2004
Generalized quasilinearization method for nonlinear boundary value problems. Zbl 1091.34505
Ahmad, Bashir; Khan, Rahmat Ali; Sivasundaram, S.
2002
Generalized quasilinearization method for integro-differential equations. Zbl 1001.65143
Ahmad, Bashir; Khan, Rehmat Ali; Sivasundaram, S.
2001
Existence of positive solution and Hyers-Ulam stability for a nonlinear singular-delay-fractional differential equation. Zbl 1459.34024
Khan, Hasib; Abdeljawad, Thabet; Aslam, Muhammad; Khan, Rahmat Ali; Khan, Aziz
2019
Analytical solutions of fractional order diffusion equations by natural transform method. Zbl 1397.35339
Shah, Kamal; Khalil, Hammad; Khan, Rahmat Ali
2018
Iterative scheme for a coupled system of fractional-order differential equations with three-point boundary conditions. Zbl 1395.34009
Shah, Kamal; Khan, Rahmat Ali
2018
Investigating a coupled hybrid system of nonlinear fractional differential equations. Zbl 1417.34014
Kumam, Wiyada; Bahadur Zada, Mian; Shah, Kamal; Khan, Rahmat Ali
2018
Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations. Zbl 1446.65053
Shah, Kamal; Wang, Jinrong; Khalil, Hammad; Khan, Rahmat Ali
2018
Existence theory to a coupled system of higher order fractional hybrid differential equations by topological degree theory. Zbl 1400.34015
Zada, Mian Bahadur; Shah, Kamal; Khan, Rahmat Ali
2018
Hyers-Ulam stability of a class of nonlocal boundary value problem having triple solutions. Zbl 1384.34009
Ali, Nigar; Fatima, Bi Bi; Shah, Kamal; Khan, Rahmat Ali
2018
Solution of fractional order heat equation via triple Laplace transform in 2 dimensions. Zbl 1381.35223
Khan, Tahir; Shah, Kamal; Khan, Amir; Khan, Rahmat Ali
2018
Existence and stability of solution to a toppled systems of differential equations of non-integer order. Zbl 1361.34006
Ali, Amjad; Samet, Bessem; Shah, Kamal; Khan, Rahmat Ali
2017
Numerical multistep approach for solving fractional partial differential equations. Zbl 1404.65210
Al-Smadi, Mohammed; Freihat, Asad; Khalil, Hammad; Momani, Shaher; Ali Khan, Rahmat
2017
Existence results and Hyers-Ulam stability to a class of nonlinear arbitrary order differential equations. Zbl 1412.34035
Kumam, Poom; Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali
2017
A generalized scheme based on shifted Jacobi polynomials for numerical simulation of coupled systems of multi-term fractional-order partial differential equations. Zbl 1377.65111
Shah, Kamal; Khalil, Hammad; Khan, Rahmat Ali
2017
Study of solution to a toppled system of fractional differential equations with integral boundary conditions. Zbl 1397.34026
Shah, Kamal; Khan, Rahmat Ali
2017
Approximate solution of boundary value problems using shifted Legendre polynomials. Zbl 1390.42002
Khalil, Hammad; Shah, Kamal; Khan, Rahmat Ali
2017
Iterative technique for coupled integral boundary value problem of non-integer order differential equations. Zbl 1422.34051
Li, Yongjin; Shah, Kamal; Khan, Rahmat Ali
2017
Application of topological degree method for solutions of coupled systems of multipoints boundary value problems of fractional order hybrid differential equations. Zbl 1373.34010
Iqbal, Muhammad; Li, Yongjin; Shah, Kamal; Khan, Rahmat Ali
2017
Study of a class of arbitrary order differential equations by a coincidence degree method. Zbl 1372.34005
Ali, Nigar; Shah, Kamal; Baleanu, Dumitru; Arif, Muhammad; Khan, Rahmat Ali
2017
Existence of solution to a coupled system of hybrid fractional differential equations. Zbl 1411.34010
Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali
2017
Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations. Zbl 1424.34042
Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali
2017
Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems. Zbl 1339.34013
Shah, Kamal; Ali, Amjad; Khan, Rahmat Ali
2016
Existence and uniqueness results to a coupled system of fractional order boundary value problems by topological degree theory. Zbl 06648989
Shah, Kamal; Khan, Rahmat Ali
2016
Approximate solution of linear and nonlinear fractional differential equations under $$m$$-point local and nonlocal boundary conditions. Zbl 1419.34087
Khalil, Hammad; Khan, Rahmat Ali; Baleanu, Dumitru; Saker, Samir H.
2016
Existence of positive solution to a class of boundary value problems of fractional differential equations. Zbl 1424.34010
Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali
2016
Toward the approximate solution for fractional order nonlinear mixed derivative and nonlocal boundary value problems. Zbl 1422.65296
Khalil, Hammad; Al-Smadi, Mohammed; Moaddy, Khaled; Khan, Rahmat Ali; Hashim, Ishak
2016
Existence of positive solutions to a coupled system of nonlinear fractional order differential equations with $$m$$-point boundary conditions. Zbl 1411.34009
Ali, Amjad; Shah, Kamal; Khan, Rahmat Ali
2016
Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations. Zbl 1353.34028
Shah, Kamal; Khalil, Hammad; Khan, Rahmat Ali
2015
Existence and uniqueness of positive solutions to a coupled system of nonlinear fractional order differential equations with anti periodic boundary conditions. Zbl 1336.47071
Shah, Kamal; Khan, Rahmat Ali
2015
Existence criterion for the solutions of fractional order $$p$$-Laplacian boundary value problems. Zbl 1381.34016
Jafari, Hossein; Baleanu, Dumitru; Khan, Hasib; Khan, Rahmat Ali; Khan, Aziz
2015
On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions. Zbl 1422.34021
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossein; Khan, Rahmat Ali; Alipour, Mohsen
2015
On the existence of solution for fractional differential equations of order $$3<\delta_{1}\leq 4$$. Zbl 1422.34020
Baleanu, Dumitru; Agarwal, Ravi P.; Khan, Hasib; Khan, Rahmat Ali; Jafari, Hossein
2015
Approximation of solution of time fractional order three-dimensional heat conduction problems with Jacobi polynomials. Zbl 1337.65166
Khalil, Hammad; Khan, Rahmat Ali; Al-Smadi, Mohammed H.; Freihat, Asad A.
2015
The use of Jacobi polynomials in the numerical solution of coupled system of fractional differential equations. Zbl 1321.65112
Khalil, Hammad; Khan, Rahmat Ali
2015
Existence and uniqueness of solutions for fractional order $$m$$-point boundary value problems. Zbl 1415.34026
Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali
2015
On the exact solution of wave equations on Cantor sets. Zbl 1338.35459
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali
2015
New operational matrix for shifted Legendre polynomials and fractional differential equations with variable coefficients. Zbl 1337.65167
Khalil, Hammad; Khan, Rahmat Ali; Al-Smadi, Mohammed H.; Freihat, Asad A.; Shawagfeh, Nabil
2015
Numerical scheme for solution of coupled system of initial value fractional order Fredholm integro differential equations with smooth solutions. Zbl 1355.65178
Khalil, H.; Khan, Rahmat Ali
2015
A new method based on Legendre polynomials for solutions of the fractional two-dimensional heat conduction equation. Zbl 1366.74084
Khalil, Hammad; Khan, Rahmat Ali
2014
A new method based on Legendre polynomials for solution of system of fractional order partial differential equations. Zbl 1328.65253
Khan, Rahmat Ali; Khalil, Hammad
2014
Existence and uniqueness of solutions for $$p$$-Laplacian fractional order boundary value problems. Zbl 1415.34017
Khan, Rahmat Ali; Khan, Aziz
2014
New operational matrix of integrations and coupled system of Fredholm integral equations. Zbl 1301.65131
Khalil, Hammad; Khan, Rahmat Ali
2014
Higher order nonlocal nonlinear boundary value problems for fractional differential equations. Zbl 1319.34011
Khan, Rahmat Ali
2014
Numerical solutions to initial and boundary value problems for linear fractional partial differential equations. Zbl 1427.65299
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2013
Three-point boundary value problems for higher order nonlinear fractional differential equations. Zbl 1261.34006
Khan, Rahmat Ali
2013
A numerical method for solving boundary value problems for fractional differential equations. Zbl 1243.65095
ur Rehman, Mujeeb; Khan, Rahmat Ali
2012
Positive solutions to singular system with four-point coupled boundary conditions. Zbl 1232.34034
Asif, Naseer Ahmad; Khan, Rahmat Ali
2012
Eventual periodicity of forced oscillations of the Korteweg-de Vries type equation. Zbl 1236.65153
Khan, Rahmat Ali; Usman, Muhammad
2012
Uniqueness implies existence and uniqueness conditions for a class of $$(k+j)$$-point boundary value problems for $$n$$-th order differential equations. Zbl 1254.34029
Eloe, Paul W.; Henderson, Johnny; Khan, Rahmat Ali
2012
Extrema of Young’s modulus in hexagonal materials. Zbl 1291.74025
Khan, R. A.; Ahmad, F.
2012
Existence and uniqueness conditions for a class of $$(k + 4j)$$-point $$n$$-th order boundary value problems. Zbl 1312.34049
Eloe, P.; Henderson, J.; Khan, R. A.
2012
The Legendre wavelet method for solving fractional differential equations. Zbl 1222.65063
Ur Rehman, Mujeeb; Ali Khan, Rahmat
2011
A note on boundary value problems for a coupled system of fractional differential equations. Zbl 1221.34018
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2011
Three point boundary value problems for nonlinear fractional differential equations. Zbl 1249.34012
Rehman, Mujeeb ur; Khan, Rahmat Ali; Asif, Naseer Ahmad
2011
Existence and uniqueness of solutions for nonlinear fractional differential equations with integral boundary conditions. Zbl 1412.34034
Khan, Rahmat Ali; Ur Rehman, Mujeeb; Henderson, Johnny
2011
Existence of multiple positive solutions for a general system of fractional differential equations. Zbl 1235.34021
Khan, Rahmat Ali; Rehman, Mujeeb ur
2011
Existence and approximation of solutions to three-point boundary value problems for fractional differential equations. Zbl 1340.35371
Khan, Rahmat
2011
Positive solutions of nonlocal boundary value problem for higher order fractional differential system. Zbl 1253.34017
Rehman, Mujeeb Ur; Khan, Rahmat Ali; Eloe, Paul W.
2011
Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations. Zbl 1214.34007
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2010
Positive solutions for a system of singular second order nonlocal boundary value problems. Zbl 1206.34044
Asif, Naseer Ahmad; Eloe, Paul W.; Khan, Rahmat Ali
2010
Existence of positive solutions to a system of singular boundary value problems. Zbl 1215.34029
Asif, Naseer Ahmad; Khan, Rahmat Ali; Henderson, Johnny
2010
Multiplicity results for positive solutions of a coupled system of singular boundary value problems. Zbl 1260.34039
Asif, Naseer Ahmad; Khan, Rahmat Ali
2010
Iterative scheme for solution to the Falkner-Skan boundary layer wedge flow problem. Zbl 1419.76503
Khan, Rahmat Ali
2010
Positive solutions to coupled system of fractional differential equations. Zbl 1230.34008
Rehman, Mujeeb ur; Khan, Rahmat Ali
2010
Positive solutions to nonlinear higher-order nonlocal boundary value problems for fractional differential equations. Zbl 1208.34002
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2010
Positive solutions for a class of coupled system of singular three-point boundary value problems. Zbl 1181.34030
Asif, Naseer Ahmad; Khan, Rahmat Ali
2009
Generalized approximation method for heat radiation equations. Zbl 1166.65359
Khan, Rahmat Ali
2009
Quasilinearization method and nonlocal singular three point boundary value problems. Zbl 1202.34029
Khan, Rahmat Ali
2009
The generalized approximation method and nonlinear heat transfer equations. Zbl 1186.34041
Khan, R. A.
2009
Existence and approximation of solution of three-point boundary value problems on time scales. Zbl 1148.34007
Khan, Rahmat Ali; Nieto, Juan J.; Otero-Espinar, V.
2008
Positive solutions of four-point singular boundary value problems. Zbl 1152.34016
Khan, Rahmat Ali
2008
Approximation and rapid convergence of solutions for periodic nonlinear problems. Zbl 1155.34010
Khan, Rahmat Ali; Nieto, Juan J.; Torres, Angela
2008
Generalized approximations for nonlinear three-point boundary value problems. Zbl 1149.65055
Ali Khan, Rahmat
2008
Generalized approximations and rapid convergence of solutions of $$m$$-point boundary value problems. Zbl 1129.65052
Khan, Rahmat Ali
2007
Existence and multiplicity results for some three-point boundary value problems. Zbl 1117.34009
Ali Khan, Rahmat; Rafique, M.
2007
Approximations and rapid convergence of solutions of nonlinear three point boundary value problems. Zbl 1117.65112
Khan, Rahmat Ali
2007
Existence of at least three solutions of nonlinear three point boundary value problems with super-quadratic growth. Zbl 1116.34012
Khan, Rahmat Ali; Webb, J. R. L.
2007
Generalized quasilinearization for periodic problems. Zbl 1140.34004
Khan, Rahmat Ali
2007
Multiplicity results for second order nonlinear boundary value problems via Leggett-Williams fixed-point theorem. Zbl 1145.34014
Khan, Rahmat Ali; Nieto, Juan J.; Rafique, M.
2007
Existence of at least three solutions of a second-order three-point boundary value problem. Zbl 1101.34005
Khan, Rahmat Ali; Webb, J. R. L.
2006
The generalized quasilinearization technique for a second order differential equation with separated boundary conditions. Zbl 1163.34006
Khan, Rahmat Ali
2006
Upper and lower solutions method for second order nonlinear four point boundary value problems. Zbl 1118.34009
Ali Khan, Rahmat; Nieto, Juan J.; Rodríguez-López, Rosana
2006
Existence and approximation of solutions of second-order nonlinear four point boundary value problems. Zbl 1109.34013
Khan, Rahmat Ali; Rodriguez Lopez, Rosana
2005
Generalized quasilinearization method for a first order differential equation with integral boundary condition. Zbl 1084.34007
Ahmad, Bashir; Khan, Rahmat Ali; Sivasundaram, S.
2005
Existence and approximation of solutions of nonlinear problems with integral boundary conditions. Zbl 1090.34012
Khan, Rahmat Ali
2005
Existence and approximation of solutions of second order nonlinear Neumann problems. Zbl 1075.34016
Khan, Rahmat Ali
2005
$$K$$-th order monotone iterative scheme for boundary value problems associated with second order nonlinear functional differential equations. Zbl 1100.34051
Ahmad, Bashir; Ali Khan, Rahmat; Sivasundaram, S.
2005
Generalized quasilinearization method for nonlinear terminal value problems. Zbl 1077.34014
Ahmad, Bashir; Khan, Rahmat Ali
2004
The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions. Zbl 1055.34033
Khan, Rahmat Ali
2003
Generalized quasilinearization method for nonlinear functional differential equations. Zbl 1048.34105
Ahmad, Bashir; Ali Khan, Rehmat; Sivasundaram, S.
2003
Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions. Zbl 1027.34013
Ahmad, Bashir; Khan, Rahmat Ali; Eloe, Paul W.
2002
Generalized quasilinearization method for nonlinear boundary value problems. Zbl 1091.34505
Ahmad, Bashir; Khan, Rahmat Ali; Sivasundaram, S.
2002
Vortex core behaviour in confined and unconfined geometries: A quasi-one-dimensional model. Zbl 1042.76009
Darmofal, D. L.; Khan, R.; Greitzer, E. M.; Tan, C. S.
2001
Generalized quasilinearization method for integro-differential equations. Zbl 1001.65143
Ahmad, Bashir; Khan, Rehmat Ali; Sivasundaram, S.
2001
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#### Cited by 836 Authors

 50 Khan, Rahmat Ali 48 Shah, Kamal 23 Liu, Lishan 22 Wu, Yonghong 17 Băleanu, Dumitru I. 14 Cui, Yujun 14 Khan, Aziz 14 Khan, Hasib 12 Khalil, Hammad 11 Ge, Weigao 11 O’Regan, Donal 10 Li, Yongjin 9 Ordokhani, Yadollah 9 Ur Rehman, Mujeeb 9 Zada, Akbar 8 Liu, Yuji 8 Zhang, Xinguang 7 Liu, Xiping 7 Sun, Shurong 7 Zou, Yumei 6 Abdeljawad, Thabet 6 Agarwal, Ravi P. 6 Al-Smadi, Mohammed H. 6 Ali, Amjad 6 Ali, Arshad 6 Chen, Haibo 6 Jia, Mei 6 Jiang, Jiqiang 6 Liu, Wenbin 6 Minhós, Feliz Manuel 5 Cattani, Carlo 5 Heydari, Mohammad Hossien 5 Hooshmandasl, Mohammad Reza 5 Jafari, Hossein 5 Khan, Tahir Saeed 5 Otero-Espinar, Victoria 5 Rahimkhani, Parisa 5 Rahman, Ghaus Ur 5 Srivastava, Hari Mohan 5 Sun, Yongping 5 Tunç, Cemil 5 Wang, Peiguang 5 Xu, Jiafa 5 Xu, Xian 5 Zhao, Yulin 4 Al-Mdallal, Qasem M. 4 Ali, Zeeshan 4 Al-saedi, Ahmed Eid Salem 4 Arif, Muhammad 4 Asif, Naseer Ahmad 4 Bhrawy, Ali Hassan 4 de Sousa, Robert 4 Feng, Meiqiang 4 Hashim, Ishak 4 Jiang, Weihua 4 Lakoud, A. Guezane 4 Macías-Díaz, Jorge Eduardo 4 Momani, Shaher M. 4 Pedas, Arvet 4 Pei, Minghe 4 Razzaghi, Mohsen 4 Sharifov, Yagub A. 4 Tamme, Enn 4 Tariboon, Jessada 4 Yan, Rian 3 Ahmad, Bashir 3 Ahmad, Manzoor 3 Ali, Nigar 3 Alquran, Marwan Taiseer 3 Ashyralyev, Allaberen 3 Babolian, Esmail 3 Chen, Wen 3 Chen, Yiming 3 Darzi, Rahmat 3 Haq, Fazal-i 3 Henderson, Johnny Lee 3 Hu, Zhigang 3 Hussain, Wajid 3 Jarad, Fahd 3 Khaldi, Rabah 3 Liu, Bingmei 3 Liu, Xiang 3 Luo, Zhiguo 3 Moustafa, Shimaa I. 3 Pang, Huihui 3 Rao, Sabbavarapu Nageswara 3 Saeed, Umer 3 Sayevand, Khosro 3 Shehata, Ayman 3 Shen, Chunfang 3 Sudsutad, Weerawat 3 Tisdell, Christopher C. 3 Vrábel, Róbert 3 Wang, Yongqing 3 Yang, Liu 3 Yang, Wengui 3 Yang, Xiaohui 3 Zhang, Xingqiu 3 Zhang, Xuemei 3 Zhao, Zengqin ...and 736 more Authors
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#### Cited in 122 Serials

 57 Advances in Difference Equations 49 Applied Mathematics and Computation 33 Boundary Value Problems 30 Abstract and Applied Analysis 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Computers & Mathematics with Applications 16 International Journal of Applied and Computational Mathematics 15 Journal of Computational and Applied Mathematics 15 Applied Mathematics Letters 15 Journal of Nonlinear Science and Applications 14 Journal of Applied Mathematics and Computing 11 Discrete Dynamics in Nature and Society 10 Complexity 10 Journal of Function Spaces 9 Applied Mathematical Modelling 9 Mathematical Problems in Engineering 8 Applied Numerical Mathematics 8 International Journal of Computer Mathematics 7 Chaos, Solitons and Fractals 7 Computational and Applied Mathematics 7 Communications in Nonlinear Science and Numerical Simulation 7 International Journal of Differential Equations 6 Journal of Mathematical Analysis and Applications 6 International Journal of Nonlinear Sciences and Numerical Simulation 5 Mathematical and Computer Modelling 5 Mediterranean Journal of Mathematics 5 Mathematical Sciences 5 Fractional Differential Calculus 5 Computational Methods for Differential Equations 4 Mathematical Methods in the Applied Sciences 4 Differential Equations and Applications 3 Numerical Algorithms 3 Journal of Difference Equations and Applications 3 Nonlinear Dynamics 3 Fractional Calculus & Applied Analysis 3 Nonlinear Analysis. Real World Applications 3 Nonlinear Analysis. Modelling and Control 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 European Journal of Pure and Applied Mathematics 3 Advances in Mathematical Physics 3 Journal of Applied Analysis and Computation 2 Indian Journal of Pure & Applied Mathematics 2 Ukrainian Mathematical Journal 2 Demonstratio Mathematica 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematics and Computers in Simulation 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Russian Journal of Mathematical Physics 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of the Egyptian Mathematical Society 2 Turkish Journal of Mathematics 2 Differential Equations and Dynamical Systems 2 Journal of Inequalities and Applications 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Thai Journal of Mathematics 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Proyecciones 2 Applications and Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Tbilisi Mathematical Journal 2 Bulletin of Mathematical Analysis and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Mathematics and Computer Science. JMCS 2 S$$\vec{\text{e}}$$MA Journal 2 Arabian Journal of Mathematics 2 Journal of Mathematics 2 Mathematics 1 Computers and Fluids 1 International Journal of Control 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 Czechoslovak Mathematical Journal 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Iranian Mathematical Society 1 Neural Networks 1 Computational Mathematics and Modeling 1 Automation and Remote Control 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Applied Mathematics. Series B (English Edition) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Georgian Mathematical Journal 1 Fractals 1 Bulletin des Sciences Mathématiques 1 Journal of Vibration and Control ...and 22 more Serials
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#### Cited in 33 Fields

 436 Ordinary differential equations (34-XX) 168 Numerical analysis (65-XX) 143 Operator theory (47-XX) 76 Partial differential equations (35-XX) 72 Real functions (26-XX) 32 Integral equations (45-XX) 16 Difference and functional equations (39-XX) 16 Biology and other natural sciences (92-XX) 11 Special functions (33-XX) 9 Systems theory; control (93-XX) 8 Approximations and expansions (41-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Fluid mechanics (76-XX) 7 General topology (54-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Functional analysis (46-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Mechanics of deformable solids (74-XX) 5 Integral transforms, operational calculus (44-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Sequences, series, summability (40-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)