## Fractional Differential Calculus

 Short Title: Fract. Differ. Calc. Publisher: ELEMENT, Zagreb ISSN: 1847-9677 Online: http://fdc.ele-math.com/ Comments: Indexed cover-to-cover; This journal is available open access.
 Documents Indexed: 162 Publications (since 2011) References Indexed: 162 Publications with 3,888 References.
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### Latest Issues

 11, No. 2 (2021) 11, No. 1 (2021) 10, No. 2 (2020) 10, No. 1 (2020) 9, No. 2 (2019) 9, No. 1 (2019) 8, No. 2 (2018) 8, No. 1 (2018) 7, No. 2 (2017) 7, No. 1 (2017) 6, No. 2 (2016) 6, No. 1 (2016) 5, No. 2 (2015) 5, No. 1 (2015) 4, No. 2 (2014) 4, No. 1 (2014) 3, No. 1 (2013) 2, No. 2 (2012) 2, No. 1 (2012) 1, No. 1 (2011)
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### Authors

 6 Pečarić, Josip 5 Farid, Ghulam 4 Ahmad, Bashir 4 Dragomir, Sever Silvestru 4 El-Sayed, Ahmed Mohamed Ahmed 4 Jonnalagadda, Jagan Mohan 4 Ntouyas, Sotiris K. 3 Benchohra, Mouffak 3 Cernea, Aurelian 3 Gholami, Yousef 3 Iqbal, Sajid 3 Kashuri, Artion 3 Lopushans’ka, Galyna Petrovna 3 N’Guérékata, Gaston Mandata 3 Tomovski, Živorad 2 Abbas, Said 2 Agarwal, Ravi P. 2 Andrić, Maja 2 Ardjouni, Abdelouaheb 2 Ashurov, Ravshan Rajabovich 2 Bairagi, Nandadulal 2 Benmezaï, Abdelhamid 2 Budak, Hüseyin 2 Dabas, Jaydev 2 Ferreira, Rui A. C. 2 Gautam, Ganga Ram 2 Ghanbari, Kazem 2 Graef, John R. 2 Henderson, Johnny Lee 2 Khan, Rahmat Ali 2 Li, Chengkuan 2 Liko, Rozana 2 Lopushansky, Andrzej 2 Ma, Dexiang 2 Merdivenci Atici, Ferhan 2 Mondal, Shuvojit 2 Nieto Roig, Juan Jose 2 Nwaeze, Eze Raymond 2 Palani, M. 2 Sweilam, Nasser Hassan 2 Tarasov, Vasily E. 2 Timoumi, Mohsen 2 Tisdell, Christopher C. 2 Vasylyeva, Nataliya V. 2 Xu, Run 1 Abbas, Syed 1 Abdullaev, Obidjon Khayrullayevich 1 Adel, Mohamed H. 1 Afshari, Elham 1 Agarwal, Ritu 1 Ahmad, Mansoor 1 Ahmed, Reda Gamal 1 Al-Mekhlafi, Seham Mahyoub 1 Al-Refai, Mohammed 1 Ali, Ashgar 1 Alimov, Shavkat Arifdzhanovich 1 Alnahdi, Manal 1 Al-saedi, Ahmed Eid Salem 1 Ansari, Alireza 1 Arioua, Yacine 1 Askari, Hassan Randjbar 1 Aslıyüce, Serkan 1 Awan, Muhammad Uzair 1 Ayub, Waqas 1 Bahuguna, Dhirendra 1 Băleanu, Dumitru I. 1 Barbir, Ana 1 Bashiri, Tahereh 1 Benhamida, Wafaa 1 Bora, Swaroop Nandan 1 Borah, Jayanta 1 Boulares, Hamid 1 Brestovanská, Eva 1 Çakan, Sümeyye 1 Çakan, Ümit 1 Cao, Junfei 1 Cao, Xianbing 1 Cerdik, Tugba Senlik 1 Chadha, Alka 1 Chang, Samuel 1 Chauhan, Archana 1 Chaurasia, Vinod Bihari Lal 1 Chinchane, Vaijanath Laxmanrao 1 Choi, Huichol 1 Choudhuri, Debajyoti 1 Chugunov, Vladimir 1 Damor, Ramesh S. 1 Dassios, George 1 Deekshitulu, Gunturu Venkata Sita Rama 1 Deren, Fulya Yoruk 1 Dorsaf, Hnaien 1 Dos Santos, José Paulo Carvalho 1 Du, Tingsong 1 Dubey, Ravi Shanker 1 El-Gendy, M. E. I. 1 El-Owaidy, Hassan Mostafa 1 Eladdad, E. E. 1 Emmanuel, Fadugba Sunday 1 Erhan, İnci M. 1 Ferdaous, Kellil ...and 143 more Authors
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### Fields

 83 Ordinary differential equations (34-XX) 81 Real functions (26-XX) 32 Partial differential equations (35-XX) 21 Operator theory (47-XX) 15 Difference and functional equations (39-XX) 9 Integral equations (45-XX) 8 Special functions (33-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 5 Functions of a complex variable (30-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

101 Publications have been cited 381 times in 350 Documents Cited by Year
The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator. Zbl 1438.35428
Ghanmi, Abdeljabbar; Saoudi, Kamel
2016
Some properties of Prabhakar-type fractional calculus operators. Zbl 1424.26017
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
Elasticity for economic processes with memory: fractional differential calculus approach. Zbl 1438.91059
Tarasova, Valentina V.; Tarasov, Vasily E.
2016
Homotopy perturbation method to fractional biological population equation. Zbl 1412.35067
Liu, Yanqin; Li, Zhaoli; Zhang, Yueyun
2011
Well-posedness and regularity of the Cauchy problem for nonlinear fractional in time and space equations. Zbl 1412.35370
Kolokoltsov, V. N.; Veretennikova, M. A.
2014
Inequalities of the Hermite-Hadamard type for quasi-convex functions via the $$(k,s)$$-Riemann-Liouville fractional integrals. Zbl 1424.26015
Nwaeze, Eze R.
2018
Some discrete fractional Lyapunov-type inequalities. Zbl 1412.34023
Ferreira, Rui A. C.
2015
Mathematical modeling of anomalous diffusion in porous media. Zbl 1412.35369
Fomin, Sergei; Chugunov, Vladimir; Hashida, Toshiyuki
2011
An ordering on Green’s function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems. Zbl 1449.39018
2019
A new class of multivalently analytic functions associated with fractional $$q$$-calculus operators. Zbl 1412.30071
Purohit, Sunil Dutt
2012
Global existence and uniqueness for implicit differential equation of arbitrary order. Zbl 1415.34028
Sutar, Sagar T.; Kucche, Kishor D.
2015
Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals of $$(\alpha,m)$$-convex functions. Zbl 1412.26010
Shi, De-Ping; Xi, Bo-Yan; Qi, Feng
2014
Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales. Zbl 1424.34331
Yaslan, Ismail; Liceli, Onur
2016
A study of impulsive fractional differential inclusions with anti-periodic boundary conditions. Zbl 1412.34073
2012
On the stability analysis of weighted average finite difference methods for fractional wave equation. Zbl 1412.35196
2012
Existence and uniqueness of solutions for fractional order $$m$$-point boundary value problems. Zbl 1415.34026
Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali
2015
Comparison results for periodic boundary value problem of fractional differential equations. Zbl 1412.34038
Nieto, Juan J.
2011
Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086
Graef, John R.; Kong, Lingju; Kong, Qingkai
2012
Boundary value problems for fractional differential inclusions in Banach spaces. Zbl 1415.34103
Benchohra, Mouffak; Henderson, Johnny; Seba, Djamila
2012
Analytical solution for the generalized time-fractional telegraph equation. Zbl 1412.35366
Chaurasia, V. B. L.; Dubey, Ravi Shanker
2013
Opial-type inequalities for fractional integral operator involving Mittag-Leffler function. Zbl 1412.26047
Farid, Ghulam; Pečarić, Josip; Tomovski, Zivorad
2015
Nonlocal boundary value problems for hybrid fractional differential equations and inclusions of Hadamard type. Zbl 1412.34006
2015
Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334
Agarwal, Ritu; Jain, Sonal; Agarwal, R. P.
2017
A nonlocal fractional Helmholtz equation. Zbl 1424.35348
Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T.
2017
Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions. Zbl 1424.34012
Benhamida, Wafaa; Graef, John R.; Hamani, Samira
2018
Generalized almost automorphic and generalized asymptotically almost automorphic solutions of abstract Volterra integro-differential inclusions. Zbl 1424.45021
Kostić, Marko
2018
Initial-boundary value and inverse problems for subdiffusion equations in $$\mathbb{R}^N$$. Zbl 1488.35552
Ashurov, Ravshan; Zunnunov, Rakhim
2020
On controllability of linear and nonlinear fractional integrodifferential systems. Zbl 1449.93005
Matar, Mohammed M.
2019
Approximation of time fractional Black-Scholes equation via radial kernels and transformations. Zbl 1438.65255
2019
Global stability of a Leslie-Gower-type fractional order tritrophic food chain model. Zbl 1438.34159
Mondal, Shuvojit; Bairagi, Nandadulal; N’Guerekata, Gaston M.
2019
Blowing-up solutions and global solutions to a fractional differential equation. Zbl 1412.34021
Dorsaf, Hnaien; Ferdaous, Kellil; Rafika, Lassoued
2014
Existence theory for fractional-order neutral boundary value problems. Zbl 1424.34007
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed; Alnahdi, Manal
2018
Inequalities of Jensen’s type for generalized $$k$$-$$g$$-fractional integrals of function $$f$$ for which the composite $$f \circ g^{-1}$$ is convex. Zbl 1424.26049
Dragomir, Silvestru Sever
2018
Opial type integral inequalities for fractional derivatives. Zbl 1412.26048
Farid, G.; Pečarić, J.
2012
Existence of an unbounded solution for multi-point boundary value problems of fractional differential equations on an infinite domain. Zbl 1412.34025
Gholami, Yousef
2014
An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033
Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip
2015
Existence and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations. Zbl 1412.34044
Toumi, Faten
2015
Some new oscillation criteria for a class of nonlinear fractional differential equations. Zbl 1424.34040
Pan, Yuanyuan; Xu, Run
2016
Fractional calculus of variations with a generalized fractional derivative. Zbl 1438.49035
2016
About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation. Zbl 1424.45009
Karimov, E. T.; López, B.; Sadarangani, K.
2016
Continuous dependence of the solution of random fractional-order differential equation with nonlocal conditions. Zbl 1438.34028
El-Sayed, A. M. A.; Gaafar, F.; El-Gendy, M.
2017
Some $$k$$-fractional associates of Hermite-Hadamard’s inequality for quasi-convex functions and applications to special means. Zbl 1424.26052
Hussain, R.; Ali, A.; Latif, A.; Gulshan, G.
2017
Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014
2017
Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048
Tisdell, Christopher C.
2018
Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047
Timoumi, Mohsen
2018
Multiple positive solutions for nonlinear fractional differential systems. Zbl 1412.34039
2012
Opial type integral inequalities for fractional derivatives. II. Zbl 1412.26049
Farid, G.; Pečarić, J.
2012
Weighted Hardy-type inequalities for monotone convex functions with some applications. Zbl 1412.26050
Iqbal, Sajid; Krulić Himmelreich, Kristina; Pečarić, Josip
2013
Existence of mild solutions for impulsive fractional functional integro-differential equations. Zbl 1415.34122
Gautam, Ganga Ram; Dabas, Jaydev
2015
Positive solutions to iterative systems of fractional order three-point boundary value problems with Riemann-Liouville derivative. Zbl 1415.34024
Prasad, K. R.; Krushna, B. M. B.
2015
Chebyshev type inequality on nabla discrete fractional calculus. Zbl 1424.26043
Asliyüce, Serkan; Güvenilir, Feza
2016
Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432
Kong, Huanhuan; Xu, Run
2017
Representation of solutions of linear inhomogeneous Caputo fractional differential equation with continuous variable coefficient by Green function. Zbl 1438.34049
Pak, Sunae; Choi, Huichol; Sin, Kinam
2017
Solvability of a non-local problem with integral gluing condition for mixed type equation with Erdelyi-Kober operators. Zbl 1424.35263
Abdullaev, Obidjon Kh.
2017
Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222
Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N.
2018
Addendum to: “Some discrete fractional Lyapunov-type inequalities”. Zbl 1457.34010
Ferreira, Rui A. C.
2018
Fractional resolvent operator with $$\alpha \in (0,1)$$ and applications. Zbl 1463.34290
Carvalho dos Santos, José Paulo
2019
Unique positive solution for nonlinear Caputo-type fractional $$q$$-difference equations with nonlocal and Stieltjes integral boundary conditions. Zbl 1463.39012
Salamooni, Ahmad Y. A.; Pawar, D. D.
2019
The generalized Abel’s integral equations on $$R^n$$ with variable coefficients. Zbl 1488.45014
Li, Chenkuan
2020
Integral inequalities within the framework of generalized fractional integrals. Zbl 1499.26117
Guzmán, Paulo M.; Nápoles Valdés, Juan E.; Gasimov, Yusif S.
2021
Grünwald-Letnikov fractional operators: from past to present. Zbl 1499.39087
Atıcı, Ferhan M.; Chang, Samuel; Jonnalagadda, Jagan
2021
Nonlinear fractional differential equations with $$m$$-point integral boundary conditions. Zbl 1438.34022
Cerdik, Tugba Senlik; Hamal, Nuket Aykut; Deren, Fulya Yoruk
2019
Some perturbed versions of the generalized trapezoid type inequalities for twice differentiable functions. Zbl 1438.26050
2019
On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012
Cernea, Aurelian
2019
Path probability of random fractional systems defined by white noises in coarse-grained time. Application of fractional entropy. Zbl 1412.60059
Jumarie, Guy
2011
Variation formulae for time varying singular fractional delay differential systems. Zbl 1416.34060
Wei, Jiang
2011
Existence of three positive solutions for boundary value problems of singular fractional differential equations. Zbl 1412.92264
Liu, Yuji
2012
Fractional difference inequalities of Opial type and initial value problem. Zbl 1412.39004
Deekshitulu, G. V. S. R.; Mohan, J. Jagan
2012
Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and integral boundary conditions. Zbl 1415.34022
Ntouyas, Sotiris K.
2013
Existence of mild solutions for nonlocal semilinear fractional evolution equations. Zbl 1412.34019
Cao, Junfei
2014
On a local solvability of the multidimensional Muskat problem with a fractional derivative in time on the boundary condition. Zbl 1412.35387
Vasylyeva, Nataliya
2014
Existence and uniqueness of mild solution for nonlocal impulsive integro-differential equation with state dependent delay. Zbl 1412.34024
Gautam, Ganga Ram; Chauhan, Archana; Dabas, Jaydev
2014
Maximal solutions to fractional differential equations. Zbl 1412.34043
Tisdell, Christopher C.
2015
On the Cauchy problem of a delay stochastic differential equation of arbitrary (fractional) orders. Zbl 1415.34015
2015
Existence of global solutions of impulsive IVPs of singular fractional differential systems on half line. Zbl 1438.34044
Liu, Yuji
2016
A problem with an integral boundary condition for a time fractional diffusion equation and an inverse problem. Zbl 1424.35359
Lopushanska, Halyna
2016
Time-fractional diffusion equation with dynamical boundary condition. Zbl 1424.35349
Krasnoschok, Mykola
2016
Existence of positive solutions for coupled systems of half-linear boundary value problems involving Caputo fractional derivatives. Zbl 1438.34032
Gholami, Yousef; Ghanbari, Kazem
2016
A fractional rate model of learning. Zbl 1438.91101
Dassios, George; Fragoyiannis, George; Satrazemi, Konstantia
2016
New boundary value problems for higher order impulsive fractional differential equations and their solvability. Zbl 1438.34001
Liu, Yuji; Yang, Xiaohui
2017
Green Function’s new property and its application to the solution for a higher-order fractional boundary value problem. Zbl 1424.34034
Ma, Dexiang
2017
Solvability for a system of nonlinear fractional higher-order three-point boundary value problem. Zbl 1424.34037
Nageswara Rao, Sabbavarapu
2017
Positive solutions for boundary value problems of $$N$$-dimension nonlinear fractional differential system with integral boundary conditions. Zbl 1424.34013
2017
Existence and uniqueness of solutions for nonlinear fractional nabla difference systems with initial conditions. Zbl 1424.39046
Boulares, Hamid; Ardjouni, Abdelouaheb; Laskri, Yamina
2017
Kallman-Rota type inequality for discrete evolution families of bounded linear operators. Zbl 1424.47109
2017
Shifted Chebyshev spectral-collocation method for solving optimal control of fractional multi-strain tuberculosis model. Zbl 1424.37049
Sweilam, Nasser; Al-Mekhlafi, Seham
2018
Non-existence results and analytical bounds of eigenvalues for a class of fractional eigenvalue problems. Zbl 1424.34011
Al-Refai, Mohammed
2018
Some $$k$$-fractional integral inequalities for harmonically convex functions. Zbl 1424.26045
Ayub, Waqas; Farid, Ghulam
2018
Qualitative results for solutions to nonlinear Caputo differential equations satisfying the Osgood condition. Zbl 1424.34039
Palani, M.; Tisdell, C. C.; Usachev, A.
2018
Minimal and maximal solutions for a fractional boundary value problem at resonance on the half line. Zbl 1424.34028
Khaldi, Rabah; Guezane-Lakoud, Assia
2018
Positive solutions of m-point fractional boundary value problem on the half line. Zbl 1463.34099
Oz, Dondu; Karaca, Ilkay
2019
On an integro-differential equation of arbitrary (fractional) orders with nonlocal integral and infinite-point boundary conditions. Zbl 1474.45051
El-Owaidy, H.; El-Sayed, A. M. A.; Ahmed, Reda Gamal
2019
Sufficient conditions for the exponential stability of nonlinear fractionally perturbed ODEs with multiple time delays. Zbl 1463.34301
Medved, Milan; Brestovanská, Eva
2019
Existence of positive solutions for regular fractional Sturm-Liouville problems. Zbl 1449.34018
Haghi, Tahereh; Ghanbari, Kazem; Mingarelli, Angelo B.
2019
Remarks on the linear fractional integro-differential equation with variable coefficients in distribution. Zbl 1488.46075
Li, Chenkuan; Huang, Jianfei
2020
Weak solutions for Caputo-Pettis fractional $$q$$-difference inclusions. Zbl 07441109
Abbas, Saïd; Ahmad, Bashir; Benchohra, Mouffak; Ntouyas, Sotiris
2020
Generalized Ostrowski-type inequalities for $$s$$-convex functions on the coordinates via fractional integrals. Zbl 1488.26071
Kermausuor, Seth
2020
On fractional mean value theorems associated with Hadamard fractional calculus and application. Zbl 1488.26018
Ma, Li; Liu, Chengcheng; Liu, Ruilin; Wang, Bo; Zhu, Yixuan
2020
On weighted fractional inequalities using generalized Katugampola fractional integral operator. Zbl 1488.26128
Panchal, Satish K.; Chinchane, Vaijanath L.; Nale, Asha B.
2020
Integral inequalities within the framework of generalized fractional integrals. Zbl 1499.26117
Guzmán, Paulo M.; Nápoles Valdés, Juan E.; Gasimov, Yusif S.
2021
Grünwald-Letnikov fractional operators: from past to present. Zbl 1499.39087
Atıcı, Ferhan M.; Chang, Samuel; Jonnalagadda, Jagan
2021
On nonlinear Volterra-Fredholm type discrete fractional sum inequalities. Zbl 1499.26133
Kendre, Subhash; Kale, Nagesh
2021
Initial-boundary value and inverse problems for subdiffusion equations in $$\mathbb{R}^N$$. Zbl 1488.35552
Ashurov, Ravshan; Zunnunov, Rakhim
2020
The generalized Abel’s integral equations on $$R^n$$ with variable coefficients. Zbl 1488.45014
Li, Chenkuan
2020
Remarks on the linear fractional integro-differential equation with variable coefficients in distribution. Zbl 1488.46075
Li, Chenkuan; Huang, Jianfei
2020
Weak solutions for Caputo-Pettis fractional $$q$$-difference inclusions. Zbl 07441109
Abbas, Saïd; Ahmad, Bashir; Benchohra, Mouffak; Ntouyas, Sotiris
2020
Generalized Ostrowski-type inequalities for $$s$$-convex functions on the coordinates via fractional integrals. Zbl 1488.26071
Kermausuor, Seth
2020
On fractional mean value theorems associated with Hadamard fractional calculus and application. Zbl 1488.26018
Ma, Li; Liu, Chengcheng; Liu, Ruilin; Wang, Bo; Zhu, Yixuan
2020
On weighted fractional inequalities using generalized Katugampola fractional integral operator. Zbl 1488.26128
Panchal, Satish K.; Chinchane, Vaijanath L.; Nale, Asha B.
2020
An ordering on Green’s function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems. Zbl 1449.39018
2019
On controllability of linear and nonlinear fractional integrodifferential systems. Zbl 1449.93005
Matar, Mohammed M.
2019
Approximation of time fractional Black-Scholes equation via radial kernels and transformations. Zbl 1438.65255
2019
Global stability of a Leslie-Gower-type fractional order tritrophic food chain model. Zbl 1438.34159
Mondal, Shuvojit; Bairagi, Nandadulal; N&rsquo;Guerekata, Gaston M.
2019
Fractional resolvent operator with $$\alpha \in (0,1)$$ and applications. Zbl 1463.34290
Carvalho dos Santos, José Paulo
2019
Unique positive solution for nonlinear Caputo-type fractional $$q$$-difference equations with nonlocal and Stieltjes integral boundary conditions. Zbl 1463.39012
Salamooni, Ahmad Y. A.; Pawar, D. D.
2019
Nonlinear fractional differential equations with $$m$$-point integral boundary conditions. Zbl 1438.34022
Cerdik, Tugba Senlik; Hamal, Nuket Aykut; Deren, Fulya Yoruk
2019
Some perturbed versions of the generalized trapezoid type inequalities for twice differentiable functions. Zbl 1438.26050
2019
On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012
Cernea, Aurelian
2019
Positive solutions of m-point fractional boundary value problem on the half line. Zbl 1463.34099
Oz, Dondu; Karaca, Ilkay
2019
On an integro-differential equation of arbitrary (fractional) orders with nonlocal integral and infinite-point boundary conditions. Zbl 1474.45051
El-Owaidy, H.; El-Sayed, A. M. A.; Ahmed, Reda Gamal
2019
Sufficient conditions for the exponential stability of nonlinear fractionally perturbed ODEs with multiple time delays. Zbl 1463.34301
Medved, Milan; Brestovanská, Eva
2019
Existence of positive solutions for regular fractional Sturm-Liouville problems. Zbl 1449.34018
Haghi, Tahereh; Ghanbari, Kazem; Mingarelli, Angelo B.
2019
Inequalities of the Hermite-Hadamard type for quasi-convex functions via the $$(k,s)$$-Riemann-Liouville fractional integrals. Zbl 1424.26015
Nwaeze, Eze R.
2018
Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions. Zbl 1424.34012
Benhamida, Wafaa; Graef, John R.; Hamani, Samira
2018
Generalized almost automorphic and generalized asymptotically almost automorphic solutions of abstract Volterra integro-differential inclusions. Zbl 1424.45021
Kostić, Marko
2018
Existence theory for fractional-order neutral boundary value problems. Zbl 1424.34007
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed; Alnahdi, Manal
2018
Inequalities of Jensen’s type for generalized $$k$$-$$g$$-fractional integrals of function $$f$$ for which the composite $$f \circ g^{-1}$$ is convex. Zbl 1424.26049
Dragomir, Silvestru Sever
2018
Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048
Tisdell, Christopher C.
2018
Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047
Timoumi, Mohsen
2018
Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222
Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N.
2018
Addendum to: “Some discrete fractional Lyapunov-type inequalities”. Zbl 1457.34010
Ferreira, Rui A. C.
2018
Shifted Chebyshev spectral-collocation method for solving optimal control of fractional multi-strain tuberculosis model. Zbl 1424.37049
Sweilam, Nasser; Al-Mekhlafi, Seham
2018
Non-existence results and analytical bounds of eigenvalues for a class of fractional eigenvalue problems. Zbl 1424.34011
Al-Refai, Mohammed
2018
Some $$k$$-fractional integral inequalities for harmonically convex functions. Zbl 1424.26045
Ayub, Waqas; Farid, Ghulam
2018
Qualitative results for solutions to nonlinear Caputo differential equations satisfying the Osgood condition. Zbl 1424.34039
Palani, M.; Tisdell, C. C.; Usachev, A.
2018
Minimal and maximal solutions for a fractional boundary value problem at resonance on the half line. Zbl 1424.34028
Khaldi, Rabah; Guezane-Lakoud, Assia
2018
Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334
Agarwal, Ritu; Jain, Sonal; Agarwal, R. P.
2017
A nonlocal fractional Helmholtz equation. Zbl 1424.35348
Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T.
2017
Continuous dependence of the solution of random fractional-order differential equation with nonlocal conditions. Zbl 1438.34028
El-Sayed, A. M. A.; Gaafar, F.; El-Gendy, M.
2017
Some $$k$$-fractional associates of Hermite-Hadamard’s inequality for quasi-convex functions and applications to special means. Zbl 1424.26052
Hussain, R.; Ali, A.; Latif, A.; Gulshan, G.
2017
Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014
2017
Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432
Kong, Huanhuan; Xu, Run
2017
Representation of solutions of linear inhomogeneous Caputo fractional differential equation with continuous variable coefficient by Green function. Zbl 1438.34049
Pak, Sunae; Choi, Huichol; Sin, Kinam
2017
Solvability of a non-local problem with integral gluing condition for mixed type equation with Erdelyi-Kober operators. Zbl 1424.35263
Abdullaev, Obidjon Kh.
2017
New boundary value problems for higher order impulsive fractional differential equations and their solvability. Zbl 1438.34001
Liu, Yuji; Yang, Xiaohui
2017
Green Function’s new property and its application to the solution for a higher-order fractional boundary value problem. Zbl 1424.34034
Ma, Dexiang
2017
Solvability for a system of nonlinear fractional higher-order three-point boundary value problem. Zbl 1424.34037
Nageswara Rao, Sabbavarapu
2017
Positive solutions for boundary value problems of $$N$$-dimension nonlinear fractional differential system with integral boundary conditions. Zbl 1424.34013
2017
Existence and uniqueness of solutions for nonlinear fractional nabla difference systems with initial conditions. Zbl 1424.39046
Boulares, Hamid; Ardjouni, Abdelouaheb; Laskri, Yamina
2017
Kallman-Rota type inequality for discrete evolution families of bounded linear operators. Zbl 1424.47109
2017
The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator. Zbl 1438.35428
Ghanmi, Abdeljabbar; Saoudi, Kamel
2016
Some properties of Prabhakar-type fractional calculus operators. Zbl 1424.26017
2016
Elasticity for economic processes with memory: fractional differential calculus approach. Zbl 1438.91059
Tarasova, Valentina V.; Tarasov, Vasily E.
2016
Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales. Zbl 1424.34331
Yaslan, Ismail; Liceli, Onur
2016
Some new oscillation criteria for a class of nonlinear fractional differential equations. Zbl 1424.34040
Pan, Yuanyuan; Xu, Run
2016
Fractional calculus of variations with a generalized fractional derivative. Zbl 1438.49035
2016
About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation. Zbl 1424.45009
Karimov, E. T.; López, B.; Sadarangani, K.
2016
Chebyshev type inequality on nabla discrete fractional calculus. Zbl 1424.26043
Asliyüce, Serkan; Güvenilir, Feza
2016
Existence of global solutions of impulsive IVPs of singular fractional differential systems on half line. Zbl 1438.34044
Liu, Yuji
2016
A problem with an integral boundary condition for a time fractional diffusion equation and an inverse problem. Zbl 1424.35359
Lopushanska, Halyna
2016
Time-fractional diffusion equation with dynamical boundary condition. Zbl 1424.35349
Krasnoschok, Mykola
2016
Existence of positive solutions for coupled systems of half-linear boundary value problems involving Caputo fractional derivatives. Zbl 1438.34032
Gholami, Yousef; Ghanbari, Kazem
2016
A fractional rate model of learning. Zbl 1438.91101
Dassios, George; Fragoyiannis, George; Satrazemi, Konstantia
2016
Some discrete fractional Lyapunov-type inequalities. Zbl 1412.34023
Ferreira, Rui A. C.
2015
Global existence and uniqueness for implicit differential equation of arbitrary order. Zbl 1415.34028
Sutar, Sagar T.; Kucche, Kishor D.
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
Opial-type inequalities for fractional integral operator involving Mittag-Leffler function. Zbl 1412.26047
Farid, Ghulam; Pečarić, Josip; Tomovski, Zivorad
2015
Nonlocal boundary value problems for hybrid fractional differential equations and inclusions of Hadamard type. Zbl 1412.34006
2015
An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033
Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip
2015
Existence and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations. Zbl 1412.34044
Toumi, Faten
2015
Existence of mild solutions for impulsive fractional functional integro-differential equations. Zbl 1415.34122
Gautam, Ganga Ram; Dabas, Jaydev
2015
Positive solutions to iterative systems of fractional order three-point boundary value problems with Riemann-Liouville derivative. Zbl 1415.34024
Prasad, K. R.; Krushna, B. M. B.
2015
Maximal solutions to fractional differential equations. Zbl 1412.34043
Tisdell, Christopher C.
2015
On the Cauchy problem of a delay stochastic differential equation of arbitrary (fractional) orders. Zbl 1415.34015
2015
Well-posedness and regularity of the Cauchy problem for nonlinear fractional in time and space equations. Zbl 1412.35370
Kolokoltsov, V. N.; Veretennikova, M. A.
2014
Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals of $$(\alpha,m)$$-convex functions. Zbl 1412.26010
Shi, De-Ping; Xi, Bo-Yan; Qi, Feng
2014
Blowing-up solutions and global solutions to a fractional differential equation. Zbl 1412.34021
Dorsaf, Hnaien; Ferdaous, Kellil; Rafika, Lassoued
2014
Existence of an unbounded solution for multi-point boundary value problems of fractional differential equations on an infinite domain. Zbl 1412.34025
Gholami, Yousef
2014
Existence of mild solutions for nonlocal semilinear fractional evolution equations. Zbl 1412.34019
Cao, Junfei
2014
On a local solvability of the multidimensional Muskat problem with a fractional derivative in time on the boundary condition. Zbl 1412.35387
Vasylyeva, Nataliya
2014
Existence and uniqueness of mild solution for nonlocal impulsive integro-differential equation with state dependent delay. Zbl 1412.34024
Gautam, Ganga Ram; Chauhan, Archana; Dabas, Jaydev
2014
Analytical solution for the generalized time-fractional telegraph equation. Zbl 1412.35366
Chaurasia, V. B. L.; Dubey, Ravi Shanker
2013
Weighted Hardy-type inequalities for monotone convex functions with some applications. Zbl 1412.26050
Iqbal, Sajid; Krulić Himmelreich, Kristina; Pečarić, Josip
2013
Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and integral boundary conditions. Zbl 1415.34022
Ntouyas, Sotiris K.
2013
A new class of multivalently analytic functions associated with fractional $$q$$-calculus operators. Zbl 1412.30071
Purohit, Sunil Dutt
2012
A study of impulsive fractional differential inclusions with anti-periodic boundary conditions. Zbl 1412.34073
2012
On the stability analysis of weighted average finite difference methods for fractional wave equation. Zbl 1412.35196
2012
Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086
Graef, John R.; Kong, Lingju; Kong, Qingkai
2012
Boundary value problems for fractional differential inclusions in Banach spaces. Zbl 1415.34103
Benchohra, Mouffak; Henderson, Johnny; Seba, Djamila
2012
Opial type integral inequalities for fractional derivatives. Zbl 1412.26048
Farid, G.; Pečarić, J.
2012
Multiple positive solutions for nonlinear fractional differential systems. Zbl 1412.34039
2012
Opial type integral inequalities for fractional derivatives. II. Zbl 1412.26049
Farid, G.; Pečarić, J.
2012
Existence of three positive solutions for boundary value problems of singular fractional differential equations. Zbl 1412.92264
Liu, Yuji
2012
Fractional difference inequalities of Opial type and initial value problem. Zbl 1412.39004
Deekshitulu, G. V. S. R.; Mohan, J. Jagan
2012
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
Homotopy perturbation method to fractional biological population equation. Zbl 1412.35067
Liu, Yanqin; Li, Zhaoli; Zhang, Yueyun
2011
Mathematical modeling of anomalous diffusion in porous media. Zbl 1412.35369
Fomin, Sergei; Chugunov, Vladimir; Hashida, Toshiyuki
2011
Comparison results for periodic boundary value problem of fractional differential equations. Zbl 1412.34038
Nieto, Juan J.
2011
Path probability of random fractional systems defined by white noises in coarse-grained time. Application of fractional entropy. Zbl 1412.60059
Jumarie, Guy
2011
...and 1 more Documents
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### Cited by 608 Authors

 14 Saoudi, Kamel 12 Nwaeze, Eze Raymond 9 Shah, Kamal 8 Farid, Ghulam 7 Ahmad, Bashir 7 Chu, Yuming 6 Băleanu, Dumitru I. 6 Jonnalagadda, Jagan Mohan 6 Kolokoltsov, Vassili N. 6 Sooppy Nisar, Kottakkaran 6 Tarasov, Vasily E. 5 Abdeljawad, Thabet 5 Al-saedi, Ahmed Eid Salem 5 Choudhuri, Debajyoti 5 Goodrich, Christopher S. 5 Kermausuor, Seth 5 Kratou, Mouna 5 Purohit, Sunil Dutt 5 Qi, Feng 5 Torebek, Berikbol Tillabayuly 4 Ansari, Alireza 4 Ardjouni, Abdelouaheb 4 Ashurov, Ravshan Rajabovich 4 Khan, Rahmat Ali 4 Kirane, Mokhtar 4 Ngo Van Hoa 4 Ntouyas, Sotiris K. 4 Pečarić, Josip 4 Prasad, Kapula Rajendra 4 Rahman, Gauhar 4 Rao, Sabbavarapu Nageswara 4 Seba, Djamila 4 Selvakumaran, Kuppathai A. 4 Sweilam, Nasser Hassan 4 Tarasova, Valentina V. 3 Ali, Amjad 3 Daoues, Adel 3 Djoudi, Ahcene 3 Eshaghi, Shiva 3 Hammami, Amani 3 Hussain, Wajid 3 Kang, Shin Min 3 Khan, Muhammad Adil 3 Kostić, Marko 3 Krushna, Boddu Muralee Bala 3 Lachouri, Adel 3 Li, Chengkuan 3 Luo, Yan 3 Lyons, Benjamin 3 Mahreen, Kahkashan 3 Matar, Mohammed M. 3 Mohammed, Pshtiwan Othman 3 N’Guérékata, Gaston Mandata 3 Nieto Roig, Juan Jose 3 Rezapour, Shahram 3 Tameru, Ana María 3 Tatar, Nasser-eddine 3 Zada, Akbar 2 Abdel-Aty, Abdel-Haleem 2 Abdo, Mohammed Salem 2 Abdullaev, Obidjon Khayrullayevich 2 Agarwal, Ravi P. 2 Akrout, Kamel 2 Al-Mekhlafi, Seham Mahyoub 2 Alesemi, Meshari 2 Ali, Arshad 2 Alkahtani, Badr Saad T. 2 Alzabut, Jehad O. 2 Anastassiou, George Angelos 2 Andrić, Maja 2 Bairagi, Nandadulal 2 Bayram, Mustafa 2 Benchohra, Mouffak 2 Bourguiba, Rim 2 Budak, Hüseyin 2 Cvetićanin, Stevan M. 2 Dabas, Jaydev 2 Dahal, Rajendra 2 Derbazi, Choukri 2 Du, Wei-Shih 2 Edelman, Mark 2 Etemad, Sina 2 Fatima, Nawal 2 Fečkan, Michal 2 Fu, Zhengqing 2 Ghaffar, Abdul 2 Ghaziani, Reza Khoshsiar 2 Ghosh, Sekhar 2 Giusti, Andrea 2 Gulsen, Tuba 2 Gupta, Vidushi 2 Hammouche, Hadda 2 Haq, Fazal-i 2 Hsini, Mounir 2 Iqbal, Sajid 2 Jung, Chahn Yong 2 Kaabar, Mohammed K. A. 2 Khaliq, Abdul Q. M. 2 Khuddush, Mahammad 2 Kumam, Poom ...and 508 more Authors
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### Cited in 149 Journals

 14 Fractional Calculus & Applied Analysis 13 Advances in Difference Equations 13 Boundary Value Problems 12 Filomat 12 Journal of Inequalities and Applications 10 Fractional Differential Calculus 10 AIMS Mathematics 8 Chaos, Solitons and Fractals 8 Computational and Applied Mathematics 7 Abstract and Applied Analysis 6 Journal of Function Spaces 5 Computers & Mathematics with Applications 5 Turkish Journal of Mathematics 5 Journal of Nonlinear Science and Applications 5 Differential Equations and Applications 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Mathematical Notes 4 Journal of Difference Equations and Applications 4 Nonlinear Dynamics 4 Discrete Dynamics in Nature and Society 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Applied Analysis and Computation 4 International Journal of Applied and Computational Mathematics 3 Applied Mathematics and Computation 3 The Journal of Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Fractals 3 Mathematical Problems in Engineering 3 Differential Equations and Dynamical Systems 3 Nonlinear Analysis. Modelling and Control 3 Tbilisi Mathematical Journal 3 Symmetry 3 Journal of Mathematics 3 Journal of Applied Nonlinear Dynamics 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Physics 2 Ukrainian Mathematical Journal 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 Quaestiones Mathematicae 2 International Journal of Mathematics 2 Acta Mathematica Universitatis Comenianae. New Series 2 International Journal of Computer Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Complexity 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Positivity 2 Lobachevskii Journal of Mathematics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Discrete and Continuous Dynamical Systems. Series B 2 Mediterranean Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Complex Analysis and Operator Theory 2 Asian-European Journal of Mathematics 2 Advances in Mathematical Physics 2 Journal of Pseudo-Differential Operators and Applications 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Arabian Journal of Mathematics 2 Advances in Nonlinear Analysis 2 Nonautonomous Dynamical Systems 2 Computational Methods for Differential Equations 2 Open Mathematics 2 Cogent Mathematics 2 Transactions of A. Razmadze Mathematical Institute 2 Korean Journal of Mathematics 2 Ural Mathematical Journal 1 Acta Mechanica 1 Applicable Analysis 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Collectanea Mathematica 1 Demonstratio Mathematica 1 Fuzzy Sets and Systems 1 Glasgow Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Facta Universitatis. Series Mathematics and Informatics 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 Numerical Algorithms 1 Annals of Physics 1 Applied Mathematical Modelling 1 Topological Methods in Nonlinear Analysis 1 Statistical Papers 1 Georgian Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 Journal of Mathematical Chemistry ...and 49 more Journals
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### Cited in 37 Fields

 171 Ordinary differential equations (34-XX) 138 Real functions (26-XX) 87 Partial differential equations (35-XX) 68 Operator theory (47-XX) 30 Numerical analysis (65-XX) 29 Difference and functional equations (39-XX) 20 Integral equations (45-XX) 19 Special functions (33-XX) 17 Biology and other natural sciences (92-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Systems theory; control (93-XX) 10 Probability theory and stochastic processes (60-XX) 9 Functions of a complex variable (30-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistics (62-XX) 4 Functional analysis (46-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)