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Fractional Differential Calculus

Short Title: Fract. Differ. Calc.
Publisher: ELEMENT, Zagreb
ISSN: 1847-9677
Online: http://fdc.ele-math.com/
Comments: Journal; Indexed cover-to-cover; This journal is available open access.
Documents Indexed: 183 Publications (since 2011)
References Indexed: 183 Publications with 4,524 References.
all top 5

Authors

6 Pečarić, Josip
5 Farid, Ghulam
5 Jonnalagadda, Jagan Mohan
4 Ahmad, Bashir
4 Benchohra, Mouffak
4 Dragomir, Sever Silvestru
4 El-Sayed, Ahmed Mohamed Ahmed
4 Khan, Asif Raza
4 N’Guérékata, Gaston Mandata
4 Ntouyas, Sotiris K.
3 Budak, Hüseyin
3 Cernea, Aurelian
3 Gholami, Yousef
3 Iqbal, Sajid
3 Kashuri, Artion
3 Liu, Yuji
3 Lopushans’ka, Galyna Petrovna
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 Bora, Swaroop Nandan
2 Dabas, Jaydev
2 Ferreira, Rui A. C.
2 Gasimov, Yusif S.
2 Gautam, Ganga Ram
2 Ghanbari, Kazem
2 Graef, John R.
2 Gulshan, Ghazala
2 Henderson, Johnny Lee
2 Hussain, Rashida
2 Khan, Rahmat Ali
2 Krushna, Boddu Muralee Bala
2 Li, Chengkuan
2 Liko, Rozana
2 Lopushansky, Andrzej
2 Ma, Dexiang
2 Ma, Li
2 Merdivenci Atici, Ferhan
2 Mondal, Shuvojit
2 Nieto Roig, Juan Jose
2 Nwaeze, Eze Raymond
2 Palani, M.
2 Prasad, Kapula Rajendra
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, Asghar
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 Babakhani, Azizollah
1 Bahuguna, Dhirendra
1 Băleanu, Dumitru I.
1 Barbir, Ana
1 Bashiri, Tahereh
1 Bayraktar, Bahtiyar
1 Benhamida, Wafaa
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
...and 179 more Authors

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 609 times in 552 Documents Cited by Year
The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator. Zbl 1438.35428
Ghanmi, Abdeljabbar; Saoudi, Kamel
39
2016
Some properties of Prabhakar-type fractional calculus operators. Zbl 1424.26017
Polito, Federico; Tomovski, Živorad
31
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
24
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.
21
2014
Homotopy perturbation method to fractional biological population equation. Zbl 1412.35067
Liu, Yanqin; Li, Zhaoli; Zhang, Yueyun
20
2011
Elasticity for economic processes with memory: fractional differential calculus approach. Zbl 1438.91059
Tarasova, Valentina V.; Tarasov, Vasily E.
20
2016
Mathematical modeling of anomalous diffusion in porous media. Zbl 1412.35369
Fomin, Sergei; Chugunov, Vladimir; Hashida, Toshiyuki
17
2011
Some discrete fractional Lyapunov-type inequalities. Zbl 1412.34023
Ferreira, Rui A. C.
16
2015
On the stability analysis of weighted average finite difference methods for fractional wave equation. Zbl 1412.35196
Sweilam, N. H.; Khader, M. M.; Adel, M.
14
2012
Global existence and uniqueness for implicit differential equation of arbitrary order. Zbl 1415.34028
Sutar, Sagar T.; Kucche, Kishor D.
13
2015
Inequalities of the Hermite-Hadamard type for quasi-convex functions via the \((k,s)\)-Riemann-Liouville fractional integrals. Zbl 1424.26015
Nwaeze, Eze R.
12
2018
Comparison results for periodic boundary value problem of fractional differential equations. Zbl 1412.34038
Nieto, Juan J.
11
2011
A new class of multivalently analytic functions associated with fractional \(q\)-calculus operators. Zbl 1412.30071
Purohit, Sunil Dutt
11
2012
Existence and uniqueness of solutions for fractional order \(m\)-point boundary value problems. Zbl 1415.34026
Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali
10
2015
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
10
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
10
2018
Integral inequalities within the framework of generalized fractional integrals. Zbl 1499.26117
Guzmán, Paulo M.; Nápoles Valdés, Juan E.; Gasimov, Yusif S.
9
2021
Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086
Graef, John R.; Kong, Lingju; Kong, Qingkai
9
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
9
2014
Generalized almost automorphic and generalized asymptotically almost automorphic solutions of abstract Volterra integro-differential inclusions. Zbl 1424.45021
Kostić, Marko
9
2018
An ordering on Green’s function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems. Zbl 1449.39018
Jonnalagadda, Jagan Mohan
9
2019
Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales. Zbl 1424.34331
Yaslan, Ismail; Liceli, Onur
8
2016
Opial type integral inequalities for fractional derivatives. Zbl 1412.26048
Farid, G.; Pečarić, J.
8
2012
Boundary value problems for fractional differential inclusions in Banach spaces. Zbl 1415.34103
Benchohra, Mouffak; Henderson, Johnny; Seba, Djamila
8
2012
Opial-type inequalities for fractional integral operator involving Mittag-Leffler function. Zbl 1412.26047
Farid, Ghulam; Pečarić, Josip; Tomovski, Zivorad
8
2015
Nonlocal boundary value problems for hybrid fractional differential equations and inclusions of Hadamard type. Zbl 1412.34006
Ahmad, Bashir; Ntouyas, Sotiris K.
8
2015
Initial-boundary value and inverse problems for subdiffusion equations in \(\mathbb{R}^N\). Zbl 1488.35552
Ashurov, Ravshan; Zunnunov, Rakhim
8
2020
Blowing-up solutions and global solutions to a fractional differential equation. Zbl 1412.34021
Dorsaf, Hnaien; Ferdaous, Kellil; Rafika, Lassoued
7
2014
Existence theory for fractional-order neutral boundary value problems. Zbl 1424.34007
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed; Alnahdi, Manal
7
2018
Fractional calculus of variations with a generalized fractional derivative. Zbl 1438.49035
Askari, Hassan; Ansari, Alireza
6
2016
A study of impulsive fractional differential inclusions with anti-periodic boundary conditions. Zbl 1412.34073
Ahmad, Bashir; Nieto, Juan J.
6
2012
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.
6
2017
Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334
Agarwal, Ritu; Jain, Sonal; Agarwal, R. P.
6
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.
6
2017
Some new oscillation criteria for a class of nonlinear fractional differential equations. Zbl 1424.34040
Pan, Yuanyuan; Xu, Run
5
2016
Opial type integral inequalities for fractional derivatives. II. Zbl 1412.26049
Farid, G.; Pečarić, J.
5
2012
Analytical solution for the generalized time-fractional telegraph equation. Zbl 1412.35366
Chaurasia, V. B. L.; Dubey, Ravi Shanker
5
2013
On a local solvability of the multidimensional Muskat problem with a fractional derivative in time on the boundary condition. Zbl 1412.35387
Vasylyeva, Nataliya
5
2014
Maximal solutions to fractional differential equations. Zbl 1412.34043
Tisdell, Christopher C.
5
2015
A nonlocal fractional Helmholtz equation. Zbl 1424.35348
Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T.
5
2017
On the backward problems in time for time-fractional subdiffusion equations. Zbl 1499.35613
Alimov, Shavkat; Ashurov, Ravshan
4
2021
About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation. Zbl 1424.45009
Karimov, E. T.; López, B.; Sadarangani, K.
4
2016
Existence of three positive solutions for boundary value problems of singular fractional differential equations. Zbl 1412.92264
Liu, Yuji
4
2012
Multiple positive solutions for nonlinear fractional differential systems. Zbl 1412.34039
Nyamoradi, Nemat; Bashiri, Tahereh
4
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
4
2014
Existence of mild solutions for impulsive fractional functional integro-differential equations. Zbl 1415.34122
Gautam, Ganga Ram; Dabas, Jaydev
4
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.
4
2015
Existence and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations. Zbl 1412.34044
Toumi, Faten
4
2015
Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048
Tisdell, Christopher C.
4
2018
Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047
Timoumi, Mohsen
4
2018
On controllability of linear and nonlinear fractional integrodifferential systems. Zbl 1449.93005
Matar, Mohammed M.
4
2019
Approximation of time fractional Black-Scholes equation via radial kernels and transformations. Zbl 1438.65255
Uddin, Marjan; Taufiq, Muhammad
4
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.
4
2019
Grünwald-Letnikov fractional operators: from past to present. Zbl 1499.39087
Atıcı, Ferhan M.; Chang, Samuel; Jonnalagadda, Jagan
3
2021
Existence of global solutions of impulsive IVPs of singular fractional differential systems on half line. Zbl 1438.34044
Liu, Yuji
3
2016
Path probability of random fractional systems defined by white noises in coarse-grained time. Application of fractional entropy. Zbl 1412.60059
Jumarie, Guy
3
2011
Weighted Hardy-type inequalities for monotone convex functions with some applications. Zbl 1412.26050
Iqbal, Sajid; Krulić Himmelreich, Kristina; Pečarić, Josip
3
2013
An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033
Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip
3
2015
Positive solutions for boundary value problems of \(N\)-dimension nonlinear fractional differential system with integral boundary conditions. Zbl 1424.34013
Benmezaï, Abdelhamid; Saadi, Abdelkader
3
2017
Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014
Jonnalagadda, Jagan Mohan
3
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
3
2017
The generalized Abel’s integral equations on \(R^n\) with variable coefficients. Zbl 1488.45014
Li, Chenkuan
3
2020
On the stability and stabilization of some semilinear fractional differential equations in Banach spaces. Zbl 1499.34328
Tiomela, R. G. Foko; Norouzi, F.; N’guérékata, G. M.; Mophou, G.
3
2020
Fractional resolvent operator with \(\alpha \in (0,1)\) and applications. Zbl 1463.34290
Carvalho dos Santos, José Paulo
3
2019
A problem with an integral boundary condition for a time fractional diffusion equation and an inverse problem. Zbl 1424.35359
Lopushanska, Halyna
2
2016
Remark to history of fractional derivatives on complex plane: Sonine-Letnikov and Nishimoto derivatives. Zbl 1424.26001
Tarasov, Vasily E.
2
2016
Time-fractional diffusion equation with dynamical boundary condition. Zbl 1424.35349
Krasnoschok, Mykola
2
2016
Variation formulae for time varying singular fractional delay differential systems. Zbl 1416.34060
Wei, Jiang
2
2011
Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and integral boundary conditions. Zbl 1415.34022
Ntouyas, Sotiris K.
2
2013
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
2
2014
Finite difference method for solving the space-time fractional wave equation in the Caputo form. Zbl 1412.35361
Afshari, Elham; Sepehrian, Behnam; Nazari, Ali Mohamad
2
2015
On the Cauchy problem of a delay stochastic differential equation of arbitrary (fractional) orders. Zbl 1415.34015
El-Sayed, A. M. A.; Eladdad, E. E.; Madkour, H. F. A.
2
2015
Chebyshev type inequality on nabla discrete fractional calculus. Zbl 1424.26043
Asliyüce, Serkan; Güvenilir, Feza
2
2016
New boundary value problems for higher order impulsive fractional differential equations and their solvability. Zbl 1438.34001
Liu, Yuji; Yang, Xiaohui
2
2017
Kallman-Rota type inequality for discrete evolution families of bounded linear operators. Zbl 1424.47109
Zada, Akbar; Riaz, Usman
2
2017
Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432
Kong, Huanhuan; Xu, Run
2
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.
2
2017
Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222
Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N.
2
2018
Addendum to: “Some discrete fractional Lyapunov-type inequalities”. Zbl 1457.34010
Ferreira, Rui A. C.
2
2018
Nonlinear fractional differential equations with \(m\)-point integral boundary conditions. Zbl 1438.34022
Cerdik, Tugba Senlik; Hamal, Nuket Aykut; Deren, Fulya Yoruk
2
2019
On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012
Cernea, Aurelian
2
2019
Remarks on the linear fractional integro-differential equation with variable coefficients in distribution. Zbl 1488.46075
Li, Chenkuan; Huang, Jianfei
2
2020
Mean value theorems associated to the differences of Opial-type inequalities and their fractional versions. Zbl 1488.26073
Rehman, Atiq Ur; Farid, Ghulam; Mehboob, Yasir
2
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
2
2020
Existence of positive solutions for regular fractional Sturm-Liouville problems. Zbl 1449.34018
Haghi, Tahereh; Ghanbari, Kazem; Mingarelli, Angelo B.
2
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.
2
2019
On nonlinear Volterra-Fredholm type discrete fractional sum inequalities. Zbl 1499.26133
Kendre, Subhash; Kale, Nagesh
1
2021
Existence results for non-instantaneous impulsive fractional functional differential equation with infinite delay. Zbl 1513.34275
Borah, Jayanta; Bora, Swaroop Nandan
1
2021
On criteria of existence for nonlinear Katugampola fractional differential equations with \(p\)-Laplacian operator. Zbl 1513.34018
Arioua, Yacine; Ma, Li
1
2021
A note on generalized fractional diffusion equations on Poincaré half plane. Zbl 1499.35641
Garra, Roberto; Maltese, F.; Orsingher, Enzo
1
2021
Existence results, inequalities and a priori bounds to fractional boundary value problems. Zbl 1513.34022
Fewster-Young, Nicholas
1
2021
Existence results for a Caputo-Hadamard type fractional boundary value problem. Zbl 1499.34029
Ardjouni, Abdelouaheb
1
2021
On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator. Zbl 1524.35412
Toshtemirov, Bakhodirjon
1
2022
On the uniqueness of solutions of two inverse problems for the subdiffusion equation. Zbl 1524.35673
Ashurov, Ravshan; Fayziev, Yusuf
1
2022
Some refinements of Hermite-Hadamard inequality using \(k\)-fractional Caputo derivatives. Zbl 1524.26059
Gasimov, Yusif S.; Valdés, Juan Eduardo Nápoles
1
2022
The fractional virial theorem. Zbl 1412.34223
Baleanu, Dumitru; Mihaela-Baleanu, Cristina; Golmankhaneh, Alireza Khalili; Golmankhaneh, Ali Khalili
1
2011
Fractional difference inequalities of Opial type and initial value problem. Zbl 1412.39004
Deekshitulu, G. V. S. R.; Mohan, J. Jagan
1
2012
Existence of mild solutions for nonlocal semilinear fractional evolution equations. Zbl 1412.34019
Cao, Junfei
1
2014
Lie symmetry analysis to general time-fractional Korteweg-de Vries equations. Zbl 1415.35249
Zhang, Youwei
1
2015
Existence and multiplicity results for the boundary value problem of nonlinear fractional differential equations. Zbl 1415.34023
Pan, Lijun
1
2015
On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator. Zbl 1524.35412
Toshtemirov, Bakhodirjon
1
2022
On the uniqueness of solutions of two inverse problems for the subdiffusion equation. Zbl 1524.35673
Ashurov, Ravshan; Fayziev, Yusuf
1
2022
Some refinements of Hermite-Hadamard inequality using \(k\)-fractional Caputo derivatives. Zbl 1524.26059
Gasimov, Yusif S.; Valdés, Juan Eduardo Nápoles
1
2022
Integral inequalities within the framework of generalized fractional integrals. Zbl 1499.26117
Guzmán, Paulo M.; Nápoles Valdés, Juan E.; Gasimov, Yusif S.
9
2021
On the backward problems in time for time-fractional subdiffusion equations. Zbl 1499.35613
Alimov, Shavkat; Ashurov, Ravshan
4
2021
Grünwald-Letnikov fractional operators: from past to present. Zbl 1499.39087
Atıcı, Ferhan M.; Chang, Samuel; Jonnalagadda, Jagan
3
2021
On nonlinear Volterra-Fredholm type discrete fractional sum inequalities. Zbl 1499.26133
Kendre, Subhash; Kale, Nagesh
1
2021
Existence results for non-instantaneous impulsive fractional functional differential equation with infinite delay. Zbl 1513.34275
Borah, Jayanta; Bora, Swaroop Nandan
1
2021
On criteria of existence for nonlinear Katugampola fractional differential equations with \(p\)-Laplacian operator. Zbl 1513.34018
Arioua, Yacine; Ma, Li
1
2021
A note on generalized fractional diffusion equations on Poincaré half plane. Zbl 1499.35641
Garra, Roberto; Maltese, F.; Orsingher, Enzo
1
2021
Existence results, inequalities and a priori bounds to fractional boundary value problems. Zbl 1513.34022
Fewster-Young, Nicholas
1
2021
Existence results for a Caputo-Hadamard type fractional boundary value problem. Zbl 1499.34029
Ardjouni, Abdelouaheb
1
2021
Initial-boundary value and inverse problems for subdiffusion equations in \(\mathbb{R}^N\). Zbl 1488.35552
Ashurov, Ravshan; Zunnunov, Rakhim
8
2020
The generalized Abel’s integral equations on \(R^n\) with variable coefficients. Zbl 1488.45014
Li, Chenkuan
3
2020
On the stability and stabilization of some semilinear fractional differential equations in Banach spaces. Zbl 1499.34328
Tiomela, R. G. Foko; Norouzi, F.; N’guérékata, G. M.; Mophou, G.
3
2020
Remarks on the linear fractional integro-differential equation with variable coefficients in distribution. Zbl 1488.46075
Li, Chenkuan; Huang, Jianfei
2
2020
Mean value theorems associated to the differences of Opial-type inequalities and their fractional versions. Zbl 1488.26073
Rehman, Atiq Ur; Farid, Ghulam; Mehboob, Yasir
2
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
2
2020
Weak solutions for Caputo-Pettis fractional \(q\)-difference inclusions. Zbl 1513.39004
Abbas, Saïd; Ahmad, Bashir; Benchohra, Mouffak; Ntouyas, Sotiris
1
2020
Generalized Ostrowski-type inequalities for \(s\)-convex functions on the coordinates via fractional integrals. Zbl 1488.26071
Kermausuor, Seth
1
2020
On weighted fractional inequalities using generalized Katugampola fractional integral operator. Zbl 1488.26128
Panchal, Satish K.; Chinchane, Vaijanath L.; Nale, Asha B.
1
2020
An ordering on Green’s function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems. Zbl 1449.39018
Jonnalagadda, Jagan Mohan
9
2019
On controllability of linear and nonlinear fractional integrodifferential systems. Zbl 1449.93005
Matar, Mohammed M.
4
2019
Approximation of time fractional Black-Scholes equation via radial kernels and transformations. Zbl 1438.65255
Uddin, Marjan; Taufiq, Muhammad
4
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.
4
2019
Fractional resolvent operator with \(\alpha \in (0,1)\) and applications. Zbl 1463.34290
Carvalho dos Santos, José Paulo
3
2019
Nonlinear fractional differential equations with \(m\)-point integral boundary conditions. Zbl 1438.34022
Cerdik, Tugba Senlik; Hamal, Nuket Aykut; Deren, Fulya Yoruk
2
2019
On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012
Cernea, Aurelian
2
2019
Existence of positive solutions for regular fractional Sturm-Liouville problems. Zbl 1449.34018
Haghi, Tahereh; Ghanbari, Kazem; Mingarelli, Angelo B.
2
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.
2
2019
Hilfer and Hadamard coupled Volterra fractional integro-differential systems with random effects. Zbl 1452.34080
Abbas, Saïd; Agarwal, Ravi P.; Benchohra, Mouffak; Slimani, Boualem Attou
1
2019
Some perturbed versions of the generalized trapezoid type inequalities for twice differentiable functions. Zbl 1438.26050
Budak, Hüseyin; Noeiaghdam, Samad
1
2019
Positive solutions of m-point fractional boundary value problem on the half line. Zbl 1463.34099
Oz, Dondu; Karaca, Ilkay
1
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
1
2019
Sufficient conditions for the exponential stability of nonlinear fractionally perturbed ODEs with multiple time delays. Zbl 1463.34301
Medved, Milan; Brestovanská, Eva
1
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.
12
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
10
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
10
2018
Generalized almost automorphic and generalized asymptotically almost automorphic solutions of abstract Volterra integro-differential inclusions. Zbl 1424.45021
Kostić, Marko
9
2018
Existence theory for fractional-order neutral boundary value problems. Zbl 1424.34007
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed; Alnahdi, Manal
7
2018
Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048
Tisdell, Christopher C.
4
2018
Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047
Timoumi, Mohsen
4
2018
Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222
Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N.
2
2018
Addendum to: “Some discrete fractional Lyapunov-type inequalities”. Zbl 1457.34010
Ferreira, Rui A. C.
2
2018
Shifted Chebyshev spectral-collocation method for solving optimal control of fractional multi-strain tuberculosis model. Zbl 1424.37049
Sweilam, Nasser; Al-Mekhlafi, Seham
1
2018
Non-existence results and analytical bounds of eigenvalues for a class of fractional eigenvalue problems. Zbl 1424.34011
Al-Refai, Mohammed
1
2018
Some \(k\)-fractional integral inequalities for harmonically convex functions. Zbl 1424.26045
Ayub, Waqas; Farid, Ghulam
1
2018
Qualitative results for solutions to nonlinear Caputo differential equations satisfying the Osgood condition. Zbl 1424.34039
Palani, M.; Tisdell, C. C.; Usachev, A.
1
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
1
2018
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.
6
2017
Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334
Agarwal, Ritu; Jain, Sonal; Agarwal, R. P.
6
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.
6
2017
A nonlocal fractional Helmholtz equation. Zbl 1424.35348
Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T.
5
2017
Positive solutions for boundary value problems of \(N\)-dimension nonlinear fractional differential system with integral boundary conditions. Zbl 1424.34013
Benmezaï, Abdelhamid; Saadi, Abdelkader
3
2017
Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014
Jonnalagadda, Jagan Mohan
3
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
3
2017
New boundary value problems for higher order impulsive fractional differential equations and their solvability. Zbl 1438.34001
Liu, Yuji; Yang, Xiaohui
2
2017
Kallman-Rota type inequality for discrete evolution families of bounded linear operators. Zbl 1424.47109
Zada, Akbar; Riaz, Usman
2
2017
Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432
Kong, Huanhuan; Xu, Run
2
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.
2
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
1
2017
Solvability for a system of nonlinear fractional higher-order three-point boundary value problem. Zbl 1424.34037
Nageswara Rao, Sabbavarapu
1
2017
On solvability of some nonlinear fractional interval integral equations. Zbl 1424.28021
Çakan, Sümeyye; Çakan, Ümıt
1
2017
Existence and uniqueness of solutions for nonlinear fractional nabla difference systems with initial conditions. Zbl 1424.39046
Boulares, Hamid; Ardjouni, Abdelouaheb; Laskri, Yamina
1
2017
The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator. Zbl 1438.35428
Ghanmi, Abdeljabbar; Saoudi, Kamel
39
2016
Some properties of Prabhakar-type fractional calculus operators. Zbl 1424.26017
Polito, Federico; Tomovski, Živorad
31
2016
Elasticity for economic processes with memory: fractional differential calculus approach. Zbl 1438.91059
Tarasova, Valentina V.; Tarasov, Vasily E.
20
2016
Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales. Zbl 1424.34331
Yaslan, Ismail; Liceli, Onur
8
2016
Fractional calculus of variations with a generalized fractional derivative. Zbl 1438.49035
Askari, Hassan; Ansari, Alireza
6
2016
Some new oscillation criteria for a class of nonlinear fractional differential equations. Zbl 1424.34040
Pan, Yuanyuan; Xu, Run
5
2016
About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation. Zbl 1424.45009
Karimov, E. T.; López, B.; Sadarangani, K.
4
2016
Existence of global solutions of impulsive IVPs of singular fractional differential systems on half line. Zbl 1438.34044
Liu, Yuji
3
2016
A problem with an integral boundary condition for a time fractional diffusion equation and an inverse problem. Zbl 1424.35359
Lopushanska, Halyna
2
2016
Remark to history of fractional derivatives on complex plane: Sonine-Letnikov and Nishimoto derivatives. Zbl 1424.26001
Tarasov, Vasily E.
2
2016
Time-fractional diffusion equation with dynamical boundary condition. Zbl 1424.35349
Krasnoschok, Mykola
2
2016
Chebyshev type inequality on nabla discrete fractional calculus. Zbl 1424.26043
Asliyüce, Serkan; Güvenilir, Feza
2
2016
Solvability and positive solutions of a system of higher order fractional boundary value problem with integral conditions. Zbl 1424.34027
Jebari, Rochdi
1
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
1
2016
A fractional rate model of learning. Zbl 1438.91101
Dassios, George; Fragoyiannis, George; Satrazemi, Konstantia
1
2016
Some discrete fractional Lyapunov-type inequalities. Zbl 1412.34023
Ferreira, Rui A. C.
16
2015
Global existence and uniqueness for implicit differential equation of arbitrary order. Zbl 1415.34028
Sutar, Sagar T.; Kucche, Kishor D.
13
2015
Existence and uniqueness of solutions for fractional order \(m\)-point boundary value problems. Zbl 1415.34026
Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali
10
2015
Opial-type inequalities for fractional integral operator involving Mittag-Leffler function. Zbl 1412.26047
Farid, Ghulam; Pečarić, Josip; Tomovski, Zivorad
8
2015
Nonlocal boundary value problems for hybrid fractional differential equations and inclusions of Hadamard type. Zbl 1412.34006
Ahmad, Bashir; Ntouyas, Sotiris K.
8
2015
Maximal solutions to fractional differential equations. Zbl 1412.34043
Tisdell, Christopher C.
5
2015
Existence of mild solutions for impulsive fractional functional integro-differential equations. Zbl 1415.34122
Gautam, Ganga Ram; Dabas, Jaydev
4
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.
4
2015
Existence and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations. Zbl 1412.34044
Toumi, Faten
4
2015
An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033
Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip
3
2015
Finite difference method for solving the space-time fractional wave equation in the Caputo form. Zbl 1412.35361
Afshari, Elham; Sepehrian, Behnam; Nazari, Ali Mohamad
2
2015
On the Cauchy problem of a delay stochastic differential equation of arbitrary (fractional) orders. Zbl 1415.34015
El-Sayed, A. M. A.; Eladdad, E. E.; Madkour, H. F. A.
2
2015
Lie symmetry analysis to general time-fractional Korteweg-de Vries equations. Zbl 1415.35249
Zhang, Youwei
1
2015
Existence and multiplicity results for the boundary value problem of nonlinear fractional differential equations. Zbl 1415.34023
Pan, Lijun
1
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.
21
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
9
2014
Blowing-up solutions and global solutions to a fractional differential equation. Zbl 1412.34021
Dorsaf, Hnaien; Ferdaous, Kellil; Rafika, Lassoued
7
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
5
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
4
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
2
2014
Existence of mild solutions for nonlocal semilinear fractional evolution equations. Zbl 1412.34019
Cao, Junfei
1
2014
...and 20 more Documents
all top 5

Cited by 847 Authors

20 Farid, Ghulam
17 Saoudi, Kamel
13 Nwaeze, Eze Raymond
10 Ahmad, Bashir
10 Liu, Yuji
10 Shah, Kamal
8 Băleanu, Dumitru I.
8 Tarasov, Vasily E.
7 Abdeljawad, Thabet
7 Choudhuri, Debajyoti
7 Chu, Yuming
7 Jonnalagadda, Jagan Mohan
7 Mahreen, Kahkashan
7 Ntouyas, Sotiris K.
7 Purohit, Sunil Dutt
7 Torebek, Berikbol Tillabayuly
7 Zada, Akbar
6 Al-saedi, Ahmed Eid Salem
6 Ansari, Alireza
6 Ardjouni, Abdelouaheb
6 Ashurov, Ravshan Rajabovich
6 Khaliq, Abdul Q. M.
6 Kolokoltsov, Vassili N.
6 Kratou, Mouna
6 Pečarić, Josip
6 Prasad, Kapula Rajendra
6 Sooppy Nisar, Kottakkaran
6 Sweilam, Nasser Hassan
6 Tomovski, Živorad
5 Akrout, Kamel
5 Biala, Toheeb A.
5 Eshaghi, Shiva
5 Ghanmii, Abdeljabbar
5 Goodrich, Christopher S.
5 Kermausuor, Seth
5 Kostić, Marko
5 Li, Chengkuan
5 Ngo Van Hoa
5 N’Guérékata, Gaston Mandata
5 Qi, Feng
5 Selvakumaran, Kuppathai A.
5 Tarasova, Valentina V.
4 Ali, Amjad
4 Alzabut, Jehad O.
4 Bayraktar, Bahtiyar
4 Dabas, Jaydev
4 Daoues, Adel
4 Djoudi, Ahcene
4 Hammami, Amani
4 Jung, Chahn Yong
4 Khan, Rahmat Ali
4 Kirane, Mokhtar
4 Krushna, Boddu Muralee Bala
4 Lachouri, Adel
4 Nazeer, Waqas
4 Rahman, Gauhar
4 Rao, Sabbavarapu Nageswara
4 Rezapour, Shahram
4 Sandev, Trifce
4 Seba, Djamila
4 Vasylyeva, Nataliya V.
3 Agarwal, Ravi P.
3 Andrić, Maja
3 Benchohra, Mouffak
3 Budak, Hüseyin
3 Derbazi, Choukri
3 Etemad, Sina
3 Fečkan, Michal
3 Fernandez, Arran
3 Furati, Khaled M.
3 Garrappa, Roberto
3 Gautam, Ganga Ram
3 Ghanbari, Kazem
3 Giusti, Andrea
3 Gupta, Vidushi
3 Hussain, Wajid
3 Kang, Shin Min
3 Kefi, Khaled
3 Khader, Mohamed M.
3 Khan, Muhammad Adil
3 Khuddush, Mahammad
3 Kucche, Kishor D.
3 Kumam, Poom
3 Luo, Yan
3 Lyons, Benjamin
3 Matar, Mohammed M.
3 Mohammed, Pshtiwan Othman
3 Nápoles Valdés, Juan E.
3 Nieto Roig, Juan Jose
3 O’Regan, Donal
3 Panda, Akasmika
3 Polito, Federico
3 Rehman, Atiq Ur
3 Riaz, Usman
3 Salim, Abdelkrim
3 Secer, Aydin
3 Suragan, Durvudkhan
3 Tameru, Ana María
3 Tatar, Nasser-eddine
3 Turmetov, Batirkhan Khudaybergenovich
...and 747 more Authors
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Cited in 197 Journals

30 Fractional Differential Calculus
24 Advances in Difference Equations
23 Fractional Calculus & Applied Analysis
16 AIMS Mathematics
13 Boundary Value Problems
12 Filomat
12 Journal of Inequalities and Applications
11 Mathematical Methods in the Applied Sciences
10 Communications in Nonlinear Science and Numerical Simulation
8 Computers & Mathematics with Applications
8 Chaos, Solitons and Fractals
8 Computational and Applied Mathematics
8 Journal of Function Spaces
7 Abstract and Applied Analysis
7 Differential Equations and Applications
6 Mathematical Problems in Engineering
6 International Journal of Nonlinear Sciences and Numerical Simulation
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Journal of Computational and Applied Mathematics
5 Electronic Journal of Differential Equations (EJDE)
5 Turkish Journal of Mathematics
5 Fractals
5 Nonlinear Dynamics
5 Journal of Nonlinear Science and Applications
5 Computational Methods for Differential Equations
4 Mathematical Notes
4 Ukrainian Mathematical Journal
4 Applied Mathematics and Computation
4 NoDEA. Nonlinear Differential Equations and Applications
4 Journal of Difference Equations and Applications
4 Differential Equations and Dynamical Systems
4 Discrete Dynamics in Nature and Society
4 Nonlinear Analysis. Modelling and Control
4 Boletim da Sociedade Paranaense de Matemática. Terceira Série
4 Mediterranean Journal of Mathematics
4 Complex Analysis and Operator Theory
4 Tbilisi Mathematical Journal
4 Journal of Applied Analysis and Computation
4 Advances in Nonlinear Analysis
4 Journal of Mathematics
4 Nonautonomous Dynamical Systems
4 International Journal of Applied and Computational Mathematics
4 Korean Journal of Mathematics
3 Mathematics and Computers in Simulation
3 Applied Mathematics Letters
3 Applied Mathematical Modelling
3 International Journal of Computer Mathematics
3 The Journal of Analysis
3 Journal of Mathematical Sciences (New York)
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Lobachevskii Journal of Mathematics
3 Qualitative Theory of Dynamical Systems
3 Symmetry
3 Journal of Applied Nonlinear Dynamics
3 Open Mathematics
2 Applicable Analysis
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Journal of Differential Equations
2 Mathematische Nachrichten
2 Quaestiones Mathematicae
2 Stochastic Analysis and Applications
2 Numerical Methods for Partial Differential Equations
2 Journal of Scientific Computing
2 Journal of Integral Equations and Applications
2 International Journal of Mathematics
2 Acta Mathematica Universitatis Comenianae. New Series
2 Topological Methods in Nonlinear Analysis
2 Georgian Mathematical Journal
2 Journal of Inverse and Ill-Posed Problems
2 Complexity
2 Arab Journal of Mathematical Sciences
2 Positivity
2 Novi Sad Journal of Mathematics
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
2 Discrete and Continuous Dynamical Systems. Series B
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Communications on Pure and Applied Analysis
2 Journal of Applied Mathematics and Computing
2 South East Asian Journal of Mathematics and Mathematical Sciences
2 Thai Journal of Mathematics
2 Cubo
2 Complex Variables and Elliptic Equations
2 Proyecciones
2 Proceedings of the Steklov Institute of Mathematics
2 Asian-European Journal of Mathematics
2 Advances in Mathematical Physics
2 Advances in Pure and Applied Mathematics
2 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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 Problemy Analiza. Issues of Analysis
2 Cogent Mathematics
2 Transactions of A. Razmadze Mathematical Institute
2 Ural Mathematical Journal
2 Advanced Studies: Euro-Tbilisi Mathematical Journal
...and 97 more Journals
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Cited in 41 Fields

254 Ordinary differential equations (34-XX)
213 Real functions (26-XX)
156 Partial differential equations (35-XX)
103 Operator theory (47-XX)
52 Numerical analysis (65-XX)
39 Difference and functional equations (39-XX)
34 Integral equations (45-XX)
32 Special functions (33-XX)
22 Biology and other natural sciences (92-XX)
21 Systems theory; control (93-XX)
16 Probability theory and stochastic processes (60-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Functions of a complex variable (30-XX)
11 Functional analysis (46-XX)
10 Dynamical systems and ergodic theory (37-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Integral transforms, operational calculus (44-XX)
7 Fluid mechanics (76-XX)
6 Approximations and expansions (41-XX)
6 Abstract harmonic analysis (43-XX)
5 Potential theory (31-XX)
5 Statistics (62-XX)
4 Combinatorics (05-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Mechanics of deformable solids (74-XX)
3 Quantum theory (81-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Measure and integration (28-XX)
2 Algebraic topology (55-XX)
2 Mechanics of particles and systems (70-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Sequences, series, summability (40-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

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