## Kumar, Devendra

Compute Distance To:
 Author ID: kumar.devendra.3 Published as: Kumar, Devendra; Kumar, D. External Links: ORCID
 Documents Indexed: 165 Publications since 2010 5 Contributions as Editor Co-Authors: 62 Co-Authors with 108 Joint Publications 3,295 Co-Co-Authors
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### Serials

 8 Mathematical Methods in the Applied Sciences 7 Applications and Applied Mathematics 6 Chaos, Solitons and Fractals 6 Advances in Difference Equations 6 AIMS Mathematics 5 Mathematical Modelling of Natural Phenomena 5 Discrete and Continuous Dynamical Systems. Series S 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 International Journal of Computer Mathematics 4 International Journal of Biomathematics 4 International Journal of Applied and Computational Mathematics 3 Physica A 3 Journal of the Egyptian Mathematical Society 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics and Computing 3 Journal of Applied Mathematics, Statistics and Informatics 3 Mathematics and Its Applications: Modelling, Engineering, and Social Sciences 2 Mathematics and Computers in Simulation 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 The Journal of Analysis 2 Computational and Applied Mathematics 2 Journal of Applied Analysis 2 Nonlinear Dynamics 2 Chaos 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 International Journal of Mathematics and Computer Science 2 International Journal of Nonlinear Science 2 Journal of Fractional Calculus and Applications 2 International Journal of Analysis and Applications 2 Mathematical Sciences & Applications E-Notes 2 Journal of Numerical Analysis and Approximation Theory 2 Waves, Wavelets and Fractals. Advanced Analysis 2 Stochastics and Quality Control 1 International Journal of Modern Physics B 1 Archives of Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Le Matematiche 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Journal of the Nigerian Mathematical Society 1 Applied Mathematical Modelling 1 Communications in Statistics. Simulation and Computation 1 Communications in Statistics. Theory and Methods 1 Filomat 1 Complexity 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Journal of Applied Statistics 1 Analysis (München) 1 Far East Journal of Mathematical Sciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Kragujevac Journal of Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 International Mathematical Forum 1 Scientia. Series A: Mathematical Sciences. New Series 1 Applied Mathematical Sciences (Ruse) 1 European Journal of Pure and Applied Mathematics 1 Advanced Studies in Theoretical Physics 1 Numerical Mathematics: Theory, Methods and Applications 1 East Asian Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 Advances in Theoretical and Applied Mechanics 1 Acta Universitatis Sapientiae. Mathematica 1 Bulletin of Mathematical Analysis and Applications 1 Journal of Probability and Statistics 1 Journal of Applied Mathematics & Informatics 1 Azerbaijan Journal of Mathematics 1 Afrika Matematika 1 Theory and Applications of Mathematics & Computer Science 1 Tamsui Oxford Journal of Information and Mathematical Sciences 1 ISRN Mathematical Physics 1 Springer Proceedings in Mathematics & Statistics 1 Communications in Mathematics and Statistics 1 Advances in Nonlinear Analysis 1 Journal of Complex Analysis 1 Gulf Journal of Mathematics 1 Journal of Function Spaces 1 Studies in Systems, Decision and Control 1 International Journal of Advances in Applied Mathematics and Mechanics 1 Results in Applied Mathematics
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### Fields

 57 Partial differential equations (35-XX) 46 Numerical analysis (65-XX) 38 Real functions (26-XX) 30 Ordinary differential equations (34-XX) 29 Special functions (33-XX) 24 Biology and other natural sciences (92-XX) 23 Integral transforms, operational calculus (44-XX) 17 Statistics (62-XX) 9 Functions of a complex variable (30-XX) 9 Probability theory and stochastic processes (60-XX) 8 Fluid mechanics (76-XX) 7 Approximations and expansions (41-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Astronomy and astrophysics (85-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

96 Publications have been cited 1,059 times in 583 Documents Cited by Year
A fractional epidemiological model for computer viruses pertaining to a new fractional derivative. Zbl 1426.68015
Singh, Jagdev; Kumar, Devendra; Hammouch, Zakia; Atangana, Abdon
2018
A new fractional model for giving up smoking dynamics. Zbl 1422.34062
Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru
2017
A modified numerical scheme and convergence analysis for fractional model of Lienard’s equation. Zbl 1404.34007
Kumar, Devendra; Agarwal, Ravi P.; Singh, Jagdev
2018
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2019
A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves. Zbl 1388.35212
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2017
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2020
A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2018
An efficient analytical technique for fractional model of vibration equation. Zbl 1446.74057
Srivastava, H. M.; Kumar, Devendra; Singh, Jagdev
2017
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2020
On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2018
A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2017
On the local fractional wave equation in fractal strings. Zbl 1419.35226
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
2019
Analysis of an El Nino-Southern Oscillation model with a new fractional derivative. Zbl 1373.86007
Singh, Jagdev; Kumar, Devendra; Nieto, Juan J.
2017
An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation. Zbl 1427.65324
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
2018
Fractional modelling arising in unidirectional propagation of long waves in dispersive media. Zbl 1431.35230
Kumar, Sunil; Kumar, Devendra; Singh, Jagdev
2016
On the analysis of chemical kinetics system pertaining to a fractional derivative with Mittag-Leffler type kernel. Zbl 1390.34027
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2017
Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform. Zbl 1262.76082
Singh, Jagdev; Kumar, Devendra; Kılıçman, A.
2013
Numerical solution of predator-prey model with Beddington-DeAngelis functional response and fractional derivatives with Mittag-Leffler kernel. Zbl 1421.34033
2019
A reliable numerical algorithm for the fractional vibration equation. Zbl 1380.65207
Singh, Harendra; Srivastava, H. M.; Kumar, Devendra
2017
A hybrid analytical algorithm for nonlinear fractional wave-like equations. Zbl 1423.65001
Kumar, Devendra; Singh, Jagdev; Purohit, Sunil Dutt; Swroop, Ram
2019
Numerical computation of nonlinear fractional Zakharov-Kuznetsov equation arising in ion-acoustic waves. Zbl 06363304
Kumar, Devendra; Singh, Jagdev; Kumar, Sunil
2014
Homotopy perturbation Sumudu transform method for nonlinear equations. Zbl 1247.76062
Singh, Jagdev; Kumar, Devendra; Sushila
2011
An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation. Zbl 1433.35454
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra
2020
An efficient approach for fractional Harry Dym equation by using Sumudu transform. Zbl 1275.65086
Kumar, Devendra; Singh, Jagdev; Kılıçman, A.
2013
Analytical solution of Abel integral equation arising in astrophysics via Laplace transform. Zbl 1311.45001
Kumar, Sunil; Kumar, Amit; Kumar, Devendra; Singh, Jagdev; Singh, Arvind
2015
Numerical study for systems of fractional differential equations via Laplace transform. Zbl 1330.65127
Gupta, Sumit; Kumar, Devendra; Singh, Jagdev
2015
Sumudu decomposition method for nonlinear equations. Zbl 1250.65126
Kumar, Devendra; Singh, Jagdev; Rathore, Sushila
2012
Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations. Zbl 1474.65415
Singh, Jagdev; Kumar, Devendra; Kılıçman, Adem
2014
A study of Marichev-Saigo-Maeda fractional integral operators associated with the S-generalized Gauss hypergeometric function. Zbl 1434.33012
Bansal, Manish Kumar; Kumar, Devendra; Jain, Rashmi
2019
Exponentiated Chen distribution: properties and estimation. Zbl 1383.62037
Dey, Sanku; Kumar, Devendra; Ramos, Pedro L.; Louzada, Francisco
2017
Alpha power transformed inverse Lindley distribution: a distribution with an upside-down bathtub-shaped hazard function. Zbl 1404.60028
Dey, Sanku; Nassar, Mazen; Kumar, Devendra
2019
An efficient computational technique for local fractional heat conduction equations in fractal media. Zbl 1412.35374
Zhao, Duan; Singh, Jagdev; Kumar, Devendra; Rathore, Sushila; Yang, Xiao-Jun
2017
An efficient computational method for local fractional transport equation occurring in fractal porous media. Zbl 1463.76050
Singh, Jagdev; Kumar, Devendra; Kumar, Sunil
2020
A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying. Zbl 1485.92136
Kumar, Devendra; Singh, Jagdev; Al Qurashi, Maysaa; Baleanu, Dumitru
2019
Interrelationships between Marichev-Saigo-Maeda fractional integral operators, the Laplace transform and the $$\overline{H}$$-function. Zbl 1418.33001
Bansal, M. K.; Kumar, Devendra; Jain, R.
2019
A reliable algorithm for the approximate solution of the nonlinear Lane-Emden type equations arising in astrophysics. Zbl 1407.85001
Singh, Harendra; Srivastava, H. M.; Kumar, Devendra
2018
Extended exponential distribution based on order statistics. Zbl 1377.62135
Kumar, Devendra; Dey, Sanku; Nadarajah, Saralees
2017
A new extension of Weibull distribution: properties and different methods of estimation. Zbl 1390.60062
Nassar, Mazen; Afify, Ahmed Z.; Dey, Sanku; Kumar, Devendra
2018
A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay. Zbl 1418.65101
Kumar, Devendra; Kumari, Parvin
2019
An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience. Zbl 1407.65111
Kumar, Devendra
2018
Certain fractional calculus and integral transform results of incomplete $$\aleph$$-functions with applications. Zbl 1445.26002
Bansal, Manish Kumar; Kumar, Devendra; Nisar, K. S.; Singh, Jagdev
2020
Application of He’s homotopy perturbation method for solving nonlinear wave-like equations with variable coefficients. Zbl 1360.35115
Gupta, Sumit; Kumar, Devendra; Singh, Jagdev
2013
On the solutions of generalized fractional kinetic equations. Zbl 1227.82055
Chaurasia, V. B. L.; Kumar, Devendra
2010
Analytical techniques for system of time fractional nonlinear differential equations. Zbl 1370.34010
Choi, Junesang; Kumar, Devendra; Singh, Jagdev; Swroop, Ram
2017
On the solutions of fractional reaction-diffusion equations. Zbl 1282.35402
Singh, Jagdev; Kumar, Devendra; Rathore, Sushila
2013
On the distribution of mixed sum of independent random variables one of them associated with Srivastava’s polynomials and $$\overline{H}$$-function. Zbl 1292.62033
Singh, Jagdev; Kumar, Devendra
2014
An integral operator involving generalized Mittag-Leffler function and associated fractional calculus results. Zbl 1426.33052
Bansal, M. K.; Jolly, N.; Jain, R.; Kumar, Devendra
2019
Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay. Zbl 1436.35028
Kumar, Devendra; Kumari, Parvin
2020
A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers. Zbl 07474845
Kumar, Devendra
2019
Homotopy perturbation algorithm using Laplace transform for gas dynamics equation. Zbl 1277.65085
Singh, Jagdev; Kumar, Devendra; Sushila
2012
A collocation method for singularly perturbed differential-difference turning point problems exhibiting boundary/interior layers. Zbl 1405.65081
Kumar, Devendra
2018
Analytic study of Allen-Cahn equation of fractional order. Zbl 1409.35220
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2017
New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2021
Certain formulas involving a multi-index Mittag-Leffler function. Zbl 1429.33033
Bansal, Manish Kumar; Harjule, P.; Choi, Junesang; Mubeen, Shahid; Kumar, Devendra
2019
Statistical inference of exponentiated moment exponential distribution based on lower record values. Zbl 1380.62065
Kumar, Devendra; Dey, Tanujit; Dey, Sanku
2017
Quadratic $$B$$-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh. Zbl 1480.65187
Shivhare, Meenakshi; Pramod Chakravarthy, P.; Kumar, Devendra
2021
The Marshall-Olkin alpha power family of distributions with applications. Zbl 1409.62047
Nassar, Mazen; Kumar, Devendra; Dey, Sanku; Cordeiro, Gauss M.; Afify, Ahmed Z.
2019
On the solutions of integral equations of Fredholm type with special functions. Zbl 1275.33033
Chaurasia, V. B. L.; Kumar, Devendra
2012
A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters. Zbl 1471.65164
Shivhare, Meenakshi; Podila, Pramod Chakravarthy; Kumar, Devendra
2021
Higher order B-spline differential quadrature rule to approximate generalized Rosenau-RLW equation. Zbl 1451.65157
Mustahsan, Muhammad; Kiran, Ayesha; Singh, Jagdev; Nisar, Kottakkaran Sooppy; Kumar, Devendra
2020
New aspects of fractional epidemiological model for computer viruses with Mittag-Leffler law. Zbl 07357307
Kumar, Devendra; Singh, Jagdev
2020
Fractional SIR epidemic model of childhood disease with Mittag-Leffler memory. Zbl 1466.92210
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra
2021
A reliable analytical algorithm for cubic isothermal auto-catalytic chemical system. Zbl 1429.65265
Saad, Khaled M.; Srivastava, H. M.; Kumar, Devendra
2019
The integration of certain product involving special functions. Zbl 1244.26009
Chaurasia, V. B. L.; Kumar, Devendra
2010
Fitted mesh method for a class of singularly perturbed differential-difference equations. Zbl 1349.65203
Kumar, Devendra
2015
Generalized growth and approximation of entire function solution of Helmholtz equation in Banach spaces. Zbl 1341.30026
Kumar, Devendra
2016
On the growth and best polynomial approximation of entire functions in $$\mathbb {C}^{m}$$ ($$m\geq 2$$) in some Banach spaces. Zbl 1371.32004
Kumar, Devendra
2017
Lie symmetry analysis and dynamical structures of soliton solutions for the $$(2+1)$$-dimensional modified CBS equation. Zbl 1451.35167
Kumar, S.; Kumar, D.
2020
Solutions of unified fractional Schrödinger equations. Zbl 1234.35296
Chaurasia, V. B. L.; Kumar, Devendra
2012
Methods of mathematical modelling. Fractional differential equations. Zbl 1425.00088
2020
Fractional calculus in medical and health science. Zbl 1460.92004
2021
Bounded M-O extended exponential distribution with applications. Zbl 1448.60032
Ghosh, Indranil; Dey, Sanku; Kumar, Devendra
2019
An efficient computational approach for linear and nonlinear fractional differential equations. Zbl 1432.65116
Singh, Jagdev; Kumar, Devendra; Swroop, Ram; Sharma, Ram Prakash
2017
An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves. Zbl 1431.35154
Gupta, Sumit; Kumar, Devendra; Singh, Jagdev
2017
On the growth and approximation of transcendental entire functions on algebraic varieties. Zbl 1386.41003
Kumar, Devendra
2016
Solution of nonlinear differential equation and special functions. Zbl 1448.33014
Singh, Jagdev; Kumar, Devendra; Bansal, Manish Kumar
2020
Chebyshev type inequalities involving the fractional integral operator containing multi-index Mittag-Leffler function in the kernel. Zbl 1447.26006
Purohit, S. D.; Jolly, N.; Bansal, M. K.; Singh, Jagdev; Kumar, Devendra
2020
Applications of homotopy perturbation transform method for solving time-dependent functional differential equations. Zbl 1394.35076
Gupta, Sumit; Singh, Jagdev; Kumar, Devendra
2013
Application of homotopy perturbation transform method to linear and nonlinear Schrödinger equations. Zbl 1394.65121
Kumar, Devendra; Singh, Jagdev; Sushila
2013
$$L_p$$-approximation of analytic functions on compact sets bounded by Jordan curves. Zbl 1401.30040
Kumar, Devendra; Jain, Vandna
2015
Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth. Zbl 1371.32003
Kumar, Devendra
2017
Some fractional calculus results pertaining to Mittag-Leffler type functions. Zbl 1365.26004
Choudhary, Anupama; Kumar, Devendra; Singh, Jagdev
2017
ADMP: a Maple package for symbolic computation and error estimating to singular two-point boundary value problems with initial conditions. Zbl 1451.65130
Gupta, Sumit; Kumar, Devendra; Singh, Jagdev
2019
A family of fractional integrals pertaining to multivariable I-function. Zbl 1207.26012
Chaurasia, V. B. L.; Kumar, Devendra
2010
An efficient numerical method for fractional model of allelopathic stimulatory phytoplankton species with Mittag-Leffler law. Zbl 07396816
Ghanbari, Behzad; Kumar, Devendra; Singh, Jagdev
2021
The type I generalized half-logistic distribution based on upper record values. Zbl 1426.62063
Kumar, Devendra; Jain, Neetu; Gupta, Shivani
2015
Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology. Zbl 1443.92192
Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra
2020
On the Elzaki transform and its applications in fractional free electron laser equation. Zbl 1450.44004
Singh, Yudhveer; Gill, Vinod; Kundu, Sunil; Kumar, Devendra
2019
Moments and estimation of reduced Kies distribution based on progressive type-II right censored order statistics. Zbl 1471.62282
Dey, Sanku; Nassar, Mazen; Kumar, Devendra
2019
A reliable numerical approach for nonlinear fractional optimal control problems. Zbl 07412521
Singh, Harendra; Pandey, Rajesh K.; Kumar, Devendra
2021
Alternative derivation of generalized fractional kinetic equations. Zbl 07441447
Saxena, R. K.; Ram, J.; Kumar, D.
2013
A comparative analysis of two computational schemes for solving local fractional Laplace equations. Zbl 07442127
Dubey, Ved Prakash; Singh, Jagdev; Alshehri, Ahmed M.; Dubey, Sarvesh; Kumar, Devendra
2021
Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel. Zbl 1482.35257
Veeresha, P.; Prakasha, D. G.; Singh, Jagdev; Khan, Ilyas; Kumar, Devendra
2020
Trigonometric quintic $$B$$-spline collocation method for singularly perturbed turning point boundary value problems. Zbl 1480.65177
2021
A hybrid analytical scheme for the numerical computation of time fractional computer virus propagation model and its stability analysis. Zbl 1483.68022
Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra
2020
Identifying the space source term problem for time-space-fractional diffusion equation. Zbl 07507523
Karapinar, Erdal; Kumar, Devendra; Sakthivel, Rathinasamy; Luc, Nguyen Hoang; Can, N. H.
2020
New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2021
Quadratic $$B$$-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh. Zbl 1480.65187
Shivhare, Meenakshi; Pramod Chakravarthy, P.; Kumar, Devendra
2021
A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters. Zbl 1471.65164
Shivhare, Meenakshi; Podila, Pramod Chakravarthy; Kumar, Devendra
2021
Fractional SIR epidemic model of childhood disease with Mittag-Leffler memory. Zbl 1466.92210
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra
2021
Fractional calculus in medical and health science. Zbl 1460.92004
2021
An efficient numerical method for fractional model of allelopathic stimulatory phytoplankton species with Mittag-Leffler law. Zbl 07396816
Ghanbari, Behzad; Kumar, Devendra; Singh, Jagdev
2021
A reliable numerical approach for nonlinear fractional optimal control problems. Zbl 07412521
Singh, Harendra; Pandey, Rajesh K.; Kumar, Devendra
2021
A comparative analysis of two computational schemes for solving local fractional Laplace equations. Zbl 07442127
Dubey, Ved Prakash; Singh, Jagdev; Alshehri, Ahmed M.; Dubey, Sarvesh; Kumar, Devendra
2021
Trigonometric quintic $$B$$-spline collocation method for singularly perturbed turning point boundary value problems. Zbl 1480.65177
2021
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2020
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2020
An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation. Zbl 1433.35454
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra
2020
An efficient computational method for local fractional transport equation occurring in fractal porous media. Zbl 1463.76050
Singh, Jagdev; Kumar, Devendra; Kumar, Sunil
2020
Certain fractional calculus and integral transform results of incomplete $$\aleph$$-functions with applications. Zbl 1445.26002
Bansal, Manish Kumar; Kumar, Devendra; Nisar, K. S.; Singh, Jagdev
2020
Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay. Zbl 1436.35028
Kumar, Devendra; Kumari, Parvin
2020
Higher order B-spline differential quadrature rule to approximate generalized Rosenau-RLW equation. Zbl 1451.65157
Mustahsan, Muhammad; Kiran, Ayesha; Singh, Jagdev; Nisar, Kottakkaran Sooppy; Kumar, Devendra
2020
New aspects of fractional epidemiological model for computer viruses with Mittag-Leffler law. Zbl 07357307
Kumar, Devendra; Singh, Jagdev
2020
Lie symmetry analysis and dynamical structures of soliton solutions for the $$(2+1)$$-dimensional modified CBS equation. Zbl 1451.35167
Kumar, S.; Kumar, D.
2020
Methods of mathematical modelling. Fractional differential equations. Zbl 1425.00088
2020
Solution of nonlinear differential equation and special functions. Zbl 1448.33014
Singh, Jagdev; Kumar, Devendra; Bansal, Manish Kumar
2020
Chebyshev type inequalities involving the fractional integral operator containing multi-index Mittag-Leffler function in the kernel. Zbl 1447.26006
Purohit, S. D.; Jolly, N.; Bansal, M. K.; Singh, Jagdev; Kumar, Devendra
2020
Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology. Zbl 1443.92192
Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra
2020
Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel. Zbl 1482.35257
Veeresha, P.; Prakasha, D. G.; Singh, Jagdev; Khan, Ilyas; Kumar, Devendra
2020
A hybrid analytical scheme for the numerical computation of time fractional computer virus propagation model and its stability analysis. Zbl 1483.68022
Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra
2020
Identifying the space source term problem for time-space-fractional diffusion equation. Zbl 07507523
Karapinar, Erdal; Kumar, Devendra; Sakthivel, Rathinasamy; Luc, Nguyen Hoang; Can, N. H.
2020
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2019
On the local fractional wave equation in fractal strings. Zbl 1419.35226
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
2019
Numerical solution of predator-prey model with Beddington-DeAngelis functional response and fractional derivatives with Mittag-Leffler kernel. Zbl 1421.34033
2019
A hybrid analytical algorithm for nonlinear fractional wave-like equations. Zbl 1423.65001
Kumar, Devendra; Singh, Jagdev; Purohit, Sunil Dutt; Swroop, Ram
2019
A study of Marichev-Saigo-Maeda fractional integral operators associated with the S-generalized Gauss hypergeometric function. Zbl 1434.33012
Bansal, Manish Kumar; Kumar, Devendra; Jain, Rashmi
2019
Alpha power transformed inverse Lindley distribution: a distribution with an upside-down bathtub-shaped hazard function. Zbl 1404.60028
Dey, Sanku; Nassar, Mazen; Kumar, Devendra
2019
A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying. Zbl 1485.92136
Kumar, Devendra; Singh, Jagdev; Al Qurashi, Maysaa; Baleanu, Dumitru
2019
Interrelationships between Marichev-Saigo-Maeda fractional integral operators, the Laplace transform and the $$\overline{H}$$-function. Zbl 1418.33001
Bansal, M. K.; Kumar, Devendra; Jain, R.
2019
A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay. Zbl 1418.65101
Kumar, Devendra; Kumari, Parvin
2019
An integral operator involving generalized Mittag-Leffler function and associated fractional calculus results. Zbl 1426.33052
Bansal, M. K.; Jolly, N.; Jain, R.; Kumar, Devendra
2019
A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers. Zbl 07474845
Kumar, Devendra
2019
Certain formulas involving a multi-index Mittag-Leffler function. Zbl 1429.33033
Bansal, Manish Kumar; Harjule, P.; Choi, Junesang; Mubeen, Shahid; Kumar, Devendra
2019
The Marshall-Olkin alpha power family of distributions with applications. Zbl 1409.62047
Nassar, Mazen; Kumar, Devendra; Dey, Sanku; Cordeiro, Gauss M.; Afify, Ahmed Z.
2019
A reliable analytical algorithm for cubic isothermal auto-catalytic chemical system. Zbl 1429.65265
Saad, Khaled M.; Srivastava, H. M.; Kumar, Devendra
2019
Bounded M-O extended exponential distribution with applications. Zbl 1448.60032
Ghosh, Indranil; Dey, Sanku; Kumar, Devendra
2019
ADMP: a Maple package for symbolic computation and error estimating to singular two-point boundary value problems with initial conditions. Zbl 1451.65130
Gupta, Sumit; Kumar, Devendra; Singh, Jagdev
2019
On the Elzaki transform and its applications in fractional free electron laser equation. Zbl 1450.44004
Singh, Yudhveer; Gill, Vinod; Kundu, Sunil; Kumar, Devendra
2019
Moments and estimation of reduced Kies distribution based on progressive type-II right censored order statistics. Zbl 1471.62282
Dey, Sanku; Nassar, Mazen; Kumar, Devendra
2019
A fractional epidemiological model for computer viruses pertaining to a new fractional derivative. Zbl 1426.68015
Singh, Jagdev; Kumar, Devendra; Hammouch, Zakia; Atangana, Abdon
2018
A modified numerical scheme and convergence analysis for fractional model of Lienard’s equation. Zbl 1404.34007
Kumar, Devendra; Agarwal, Ravi P.; Singh, Jagdev
2018
A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2018
On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2018
An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation. Zbl 1427.65324
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
2018
A reliable algorithm for the approximate solution of the nonlinear Lane-Emden type equations arising in astrophysics. Zbl 1407.85001
Singh, Harendra; Srivastava, H. M.; Kumar, Devendra
2018
A new extension of Weibull distribution: properties and different methods of estimation. Zbl 1390.60062
Nassar, Mazen; Afify, Ahmed Z.; Dey, Sanku; Kumar, Devendra
2018
An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience. Zbl 1407.65111
Kumar, Devendra
2018
A collocation method for singularly perturbed differential-difference turning point problems exhibiting boundary/interior layers. Zbl 1405.65081
Kumar, Devendra
2018
A new fractional model for giving up smoking dynamics. Zbl 1422.34062
Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru
2017
A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves. Zbl 1388.35212
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2017
An efficient analytical technique for fractional model of vibration equation. Zbl 1446.74057
Srivastava, H. M.; Kumar, Devendra; Singh, Jagdev
2017
A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2017
Analysis of an El Nino-Southern Oscillation model with a new fractional derivative. Zbl 1373.86007
Singh, Jagdev; Kumar, Devendra; Nieto, Juan J.
2017
On the analysis of chemical kinetics system pertaining to a fractional derivative with Mittag-Leffler type kernel. Zbl 1390.34027
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2017
A reliable numerical algorithm for the fractional vibration equation. Zbl 1380.65207
Singh, Harendra; Srivastava, H. M.; Kumar, Devendra
2017
Exponentiated Chen distribution: properties and estimation. Zbl 1383.62037
Dey, Sanku; Kumar, Devendra; Ramos, Pedro L.; Louzada, Francisco
2017
An efficient computational technique for local fractional heat conduction equations in fractal media. Zbl 1412.35374
Zhao, Duan; Singh, Jagdev; Kumar, Devendra; Rathore, Sushila; Yang, Xiao-Jun
2017
Extended exponential distribution based on order statistics. Zbl 1377.62135
Kumar, Devendra; Dey, Sanku; Nadarajah, Saralees
2017
Analytical techniques for system of time fractional nonlinear differential equations. Zbl 1370.34010
Choi, Junesang; Kumar, Devendra; Singh, Jagdev; Swroop, Ram
2017
Analytic study of Allen-Cahn equation of fractional order. Zbl 1409.35220
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2017
Statistical inference of exponentiated moment exponential distribution based on lower record values. Zbl 1380.62065
Kumar, Devendra; Dey, Tanujit; Dey, Sanku
2017
On the growth and best polynomial approximation of entire functions in $$\mathbb {C}^{m}$$ ($$m\geq 2$$) in some Banach spaces. Zbl 1371.32004
Kumar, Devendra
2017
An efficient computational approach for linear and nonlinear fractional differential equations. Zbl 1432.65116
Singh, Jagdev; Kumar, Devendra; Swroop, Ram; Sharma, Ram Prakash
2017
An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves. Zbl 1431.35154
Gupta, Sumit; Kumar, Devendra; Singh, Jagdev
2017
Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth. Zbl 1371.32003
Kumar, Devendra
2017
Some fractional calculus results pertaining to Mittag-Leffler type functions. Zbl 1365.26004
Choudhary, Anupama; Kumar, Devendra; Singh, Jagdev
2017
Fractional modelling arising in unidirectional propagation of long waves in dispersive media. Zbl 1431.35230
Kumar, Sunil; Kumar, Devendra; Singh, Jagdev
2016
Generalized growth and approximation of entire function solution of Helmholtz equation in Banach spaces. Zbl 1341.30026
Kumar, Devendra
2016
On the growth and approximation of transcendental entire functions on algebraic varieties. Zbl 1386.41003
Kumar, Devendra
2016
Analytical solution of Abel integral equation arising in astrophysics via Laplace transform. Zbl 1311.45001
Kumar, Sunil; Kumar, Amit; Kumar, Devendra; Singh, Jagdev; Singh, Arvind
2015
Numerical study for systems of fractional differential equations via Laplace transform. Zbl 1330.65127
Gupta, Sumit; Kumar, Devendra; Singh, Jagdev
2015
Fitted mesh method for a class of singularly perturbed differential-difference equations. Zbl 1349.65203
Kumar, Devendra
2015
$$L_p$$-approximation of analytic functions on compact sets bounded by Jordan curves. Zbl 1401.30040
Kumar, Devendra; Jain, Vandna
2015
The type I generalized half-logistic distribution based on upper record values. Zbl 1426.62063
Kumar, Devendra; Jain, Neetu; Gupta, Shivani
2015
Numerical computation of nonlinear fractional Zakharov-Kuznetsov equation arising in ion-acoustic waves. Zbl 06363304
Kumar, Devendra; Singh, Jagdev; Kumar, Sunil
2014
Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations. Zbl 1474.65415
Singh, Jagdev; Kumar, Devendra; Kılıçman, Adem
2014
On the distribution of mixed sum of independent random variables one of them associated with Srivastava’s polynomials and $$\overline{H}$$-function. Zbl 1292.62033
Singh, Jagdev; Kumar, Devendra
2014
Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform. Zbl 1262.76082
Singh, Jagdev; Kumar, Devendra; Kılıçman, A.
2013
An efficient approach for fractional Harry Dym equation by using Sumudu transform. Zbl 1275.65086
Kumar, Devendra; Singh, Jagdev; Kılıçman, A.
2013
Application of He’s homotopy perturbation method for solving nonlinear wave-like equations with variable coefficients. Zbl 1360.35115
Gupta, Sumit; Kumar, Devendra; Singh, Jagdev
2013
On the solutions of fractional reaction-diffusion equations. Zbl 1282.35402
Singh, Jagdev; Kumar, Devendra; Rathore, Sushila
2013
Applications of homotopy perturbation transform method for solving time-dependent functional differential equations. Zbl 1394.35076
Gupta, Sumit; Singh, Jagdev; Kumar, Devendra
2013
Application of homotopy perturbation transform method to linear and nonlinear Schrödinger equations. Zbl 1394.65121
Kumar, Devendra; Singh, Jagdev; Sushila
2013
Alternative derivation of generalized fractional kinetic equations. Zbl 07441447
Saxena, R. K.; Ram, J.; Kumar, D.
2013
Sumudu decomposition method for nonlinear equations. Zbl 1250.65126
Kumar, Devendra; Singh, Jagdev; Rathore, Sushila
2012
Homotopy perturbation algorithm using Laplace transform for gas dynamics equation. Zbl 1277.65085
Singh, Jagdev; Kumar, Devendra; Sushila
2012
On the solutions of integral equations of Fredholm type with special functions. Zbl 1275.33033
Chaurasia, V. B. L.; Kumar, Devendra
2012
Solutions of unified fractional Schrödinger equations. Zbl 1234.35296
Chaurasia, V. B. L.; Kumar, Devendra
2012
Homotopy perturbation Sumudu transform method for nonlinear equations. Zbl 1247.76062
Singh, Jagdev; Kumar, Devendra; Sushila
2011
On the solutions of generalized fractional kinetic equations. Zbl 1227.82055
Chaurasia, V. B. L.; Kumar, Devendra
2010
The integration of certain product involving special functions. Zbl 1244.26009
Chaurasia, V. B. L.; Kumar, Devendra
2010
A family of fractional integrals pertaining to multivariable I-function. Zbl 1207.26012
Chaurasia, V. B. L.; Kumar, Devendra
2010
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### Cited by 1,039 Authors

 110 Advances in Difference Equations 66 Chaos, Solitons and Fractals 33 Fractals 32 International Journal of Applied and Computational Mathematics 24 AIMS Mathematics 19 Applied Mathematics and Computation 18 Discrete and Continuous Dynamical Systems. Series S 18 Journal of Function Spaces 17 Mathematical Modelling of Natural Phenomena 16 Boundary Value Problems 11 Mathematics and Computers in Simulation 11 Computational and Applied Mathematics 10 Journal of Nonlinear Science and Applications 10 Advances in Mathematical Physics 9 Applied Numerical Mathematics 9 International Journal of Biomathematics 7 Computers & Mathematics with Applications 7 Physica A 7 Journal of Computational and Applied Mathematics 7 Abstract and Applied Analysis 7 Chaos 5 Mathematical Problems in Engineering 5 Applications and Applied Mathematics 4 International Journal of Computer Mathematics 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Mathematical Sciences 4 Computational Methods for Differential Equations 3 Nonlinear Dynamics 3 International Journal of Differential Equations 3 Journal of Mathematics 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Kyungpook Mathematical Journal 2 Computational Mathematics and Mathematical Physics 2 The Journal of Analysis 2 Filomat 2 Differential Equations and Dynamical Systems 2 Discrete Dynamics in Nature and Society 2 Qualitative Theory of Dynamical Systems 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Journal of Applied Mathematics and Computing 2 Mathematical Biosciences and Engineering 2 Waves in Random and Complex Media 2 Acta Universitatis Sapientiae. Mathematica 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Palestine Journal of Mathematics 2 Evolution Equations and Control Theory 2 Mathematics 2 International Journal of Advances in Applied Mathematics and Mechanics 1 Acta Mechanica 1 Journal of the Franklin Institute 1 Nonlinearity 1 Physics Letters. A 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Semigroup Forum 1 Tamkang Journal of Mathematics 1 Journal of the Nigerian Mathematical Society 1 Applied Mathematics Letters 1 Computational Mathematics and Modeling 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 Advances in Computational Mathematics 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Journal of Probability 1 Journal of Applied Analysis 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Analysis (München) 1 Communications in Nonlinear Science and Numerical Simulation 1 Far East Journal of Mathematical Sciences 1 Nonlinear Functional Analysis and Applications 1 Kragujevac Journal of Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 The Journal of Prime Research in Mathematics 1 Asian-European Journal of Mathematics 1 Tbilisi Mathematical Journal 1 Advances in Differential Equations and Control Processes 1 Bulletin of Mathematical Analysis and Applications 1 Symmetry 1 Afrika Matematika 1 Journal of Mathematical Extension 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Applied Analysis and Computation 1 Axioms 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 International Journal of Analysis and Applications 1 Journal of Applied Mathematics, Statistics and Informatics 1 Iranian Journal of Numerical Analysis and Optimization 1 Open Mathematics 1 Waves, Wavelets and Fractals. Advanced Analysis