## 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.
all top 5

### 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)
all top 5

all top 5

### Fields

 85 Ordinary differential equations (34-XX) 80 Real functions (26-XX) 32 Partial differential equations (35-XX) 21 Operator theory (47-XX) 14 Difference and functional equations (39-XX) 9 Special functions (33-XX) 9 Integral equations (45-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 5 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Several complex variables and analytic spaces (32-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 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

90 Publications have been cited 333 times in 312 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
Elasticity for economic processes with memory: fractional differential calculus approach. Zbl 1438.91059
Tarasova, Valentina V.; Tarasov, Vasily E.
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
Homotopy perturbation method to fractional biological population equation. Zbl 1412.35067
Liu, Yanqin; Li, Zhaoli; Zhang, Yueyun
2011
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
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
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
Global existence and uniqueness for implicit differential equation of arbitrary order. Zbl 1415.34028
Sutar, Sagar T.; Kucche, Kishor D.
2015
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
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
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
Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales. Zbl 1424.34331
Yaslan, Ismail; Liceli, Onur
2016
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
Blowing-up solutions and global solutions to a fractional differential equation. Zbl 1412.34021
Dorsaf, Hnaien; Ferdaous, Kellil; Rafika, Lassoued
2014
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
A nonlocal fractional Helmholtz equation. Zbl 1424.35348
Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T.
2017
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
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
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
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
Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334
Agarwal, Ritu; Jain, Sonal; Agarwal, R. P.
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
Initial-boundary value and inverse problems for subdiffusion equations in $$\mathbb{R}^N$$. Zbl 07441118
Ashurov, Ravshan; Zunnunov, Rakhim
2020
Fractional resolvent operator with $$\alpha \in (0,1)$$ and applications. Zbl 1463.34290
Carvalho dos Santos, José Paulo
2019
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
An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033
Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip
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
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
Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014
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
Addendum to: “Some discrete fractional Lyapunov-type inequalities”. Zbl 1457.34010
Ferreira, Rui A. C.
2018
The generalized Abel’s integral equations on $$R^n$$ with variable coefficients. Zbl 07441108
Li, Chenkuan
2020
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
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
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
Chebyshev type inequality on nabla discrete fractional calculus. Zbl 1424.26043
Asliyüce, Serkan; Güvenilir, Feza
2016
New boundary value problems for higher order impulsive fractional differential equations and their solvability. Zbl 1438.34001
Liu, Yuji; Yang, Xiaohui
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
Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432
Kong, Huanhuan; Xu, Run
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
Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048
Tisdell, Christopher C.
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
Existence theory for fractional-order neutral boundary value problems. Zbl 1424.34007
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed; Alnahdi, Manal
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
Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222
Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N.
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
Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047
Timoumi, Mohsen
2018
On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012
Cernea, Aurelian
2019
Remarks on the linear fractional integro-differential equation with variable coefficients in distribution. Zbl 07441104
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 07441111
Kermausuor, Seth
2020
On fractional mean value theorems associated with Hadamard fractional calculus and application. Zbl 07441114
Ma, Li; Liu, Chengcheng; Liu, Ruilin; Wang, Bo; Zhu, Yixuan
2020
Initial-boundary value and inverse problems for subdiffusion equations in $$\mathbb{R}^N$$. Zbl 07441118
Ashurov, Ravshan; Zunnunov, Rakhim
2020
The generalized Abel’s integral equations on $$R^n$$ with variable coefficients. Zbl 07441108
Li, Chenkuan
2020
Remarks on the linear fractional integro-differential equation with variable coefficients in distribution. Zbl 07441104
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 07441111
Kermausuor, Seth
2020
On fractional mean value theorems associated with Hadamard fractional calculus and application. Zbl 07441114
Ma, Li; Liu, Chengcheng; Liu, Ruilin; Wang, Bo; Zhu, Yixuan
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
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
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
On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012
Cernea, Aurelian
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
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
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
Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048
Tisdell, Christopher C.
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
Existence theory for fractional-order neutral boundary value problems. Zbl 1424.34007
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed; Alnahdi, Manal
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
Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222
Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N.
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
Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047
Timoumi, Mohsen
2018
A nonlocal fractional Helmholtz equation. Zbl 1424.35348
Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T.
2017
Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334
Agarwal, Ritu; Jain, Sonal; Agarwal, R. P.
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
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
Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014
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
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
Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432
Kong, Huanhuan; Xu, Run
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
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
Chebyshev type inequality on nabla discrete fractional calculus. Zbl 1424.26043
Asliyüce, Serkan; Güvenilir, Feza
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
Existence and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations. Zbl 1412.34044
Toumi, Faten
2015
An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033
Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip
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
Variation formulae for time varying singular fractional delay differential systems. Zbl 1416.34060
Wei, Jiang
2011
all top 5