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 Latest Issues 13, No. 1 (2023) 12, No. 2 (2022) 12, No. 1 (2022) 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 Authors 6 Pečarić, Josip 5 Farid, Ghulam 5 Jonnalagadda, Jagan Mohan 4 Ahmad, Bashir 4 Benchohra, Mouffak 4 Dragomir, Sever Silvestru 4 Khan, Asif Raza 4 N’Guérékata, Gaston Mandata 4 Ntouyas, Sotiris K. 3 Ashurov, Ravshan Rajabovich 3 Budak, Hüseyin 3 Cernea, Aurelian 3 El-Sayed, Ahmed Mohamed Ahmed 3 Gholami, Yousef 3 Iqbal, Sajid 3 Kashuri, Artion 3 Liu, Yuji 3 Lopushans’ka, Galyna Petrovna 3 Tisdell, Christopher C. 3 Tomovski, Živorad 2 Abbas, Said 2 Agarwal, Ravi P. 2 Andrić, Maja 2 Ardjouni, Abdelouaheb 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 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 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 ...and 180 more Authors all top 5 Fields 95 Real functions (26-XX) 87 Ordinary differential equations (34-XX) 38 Partial differential equations (35-XX) 30 Operator theory (47-XX) 16 Difference and functional equations (39-XX) 11 Integral equations (45-XX) 9 Special functions (33-XX) 7 Numerical analysis (65-XX) 5 Functions of a complex variable (30-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-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 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 656 times in 596 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 37 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. 22 2014 Elasticity for economic processes with memory: fractional differential calculus approach. Zbl 1438.91059 Tarasova, Valentina V.; Tarasov, Vasily E. 21 2016 Homotopy perturbation method to fractional biological population equation. Zbl 1412.35067 Liu, Yanqin; Li, Zhaoli; Zhang, Yueyun 20 2011 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. 14 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 A new class of multivalently analytic functions associated with fractional \(q\)-calculus operators. Zbl 1412.30071 Purohit, Sunil Dutt 11 2012 Comparison results for periodic boundary value problem of fractional differential equations. Zbl 1412.34038 Nieto, Juan J. 11 2011 Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions. Zbl 1424.34012 Benhamida, Wafaa; Graef, John R.; Hamani, Samira 11 2018 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 Integral inequalities within the framework of generalized fractional integrals. Zbl 1499.26117 Guzmán, Paulo M.; Nápoles Valdés, Juan E.; Gasimov, Yusif S. 10 2021 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 10 2019 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 Initial-boundary value and inverse problems for subdiffusion equations in \(\mathbb{R}^N\). Zbl 1488.35552 Ashurov, Ravshan; Zunnunov, Rakhim 9 2020 Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086 Graef, John R.; Kong, Lingju; Kong, Qingkai 9 2012 Boundary value problems for fractional differential inclusions in Banach spaces. Zbl 1415.34103 Benchohra, Mouffak; Henderson, Johnny; Seba, Djamila 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 Opial type integral inequalities for fractional derivatives. Zbl 1412.26048 Farid, G.; Pečarić, J. 8 2012 Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales. Zbl 1424.34331 Yaslan, Ismail; Liceli, Onur 8 2016 Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334 Agarwal, Ritu; Jain, Sonal; Agarwal, R. P. 8 2017 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 Blowing-up solutions and global solutions to a fractional differential equation. Zbl 1412.34021 Dorsaf, Hnaien; Ferdaous, Kellil; Rafika, Lassoued 7 2014 Fractional resolvent operator with \(\alpha \in (0,1)\) and applications. Zbl 1463.34290 Carvalho dos Santos, José Paulo 7 2019 Fractional calculus of variations with a generalized fractional derivative. Zbl 1438.49035 Askari, Hassan; Ansari, Alireza 7 2016 Existence theory for fractional-order neutral boundary value problems. Zbl 1424.34007 Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed; Alnahdi, Manal 7 2018 A study of impulsive fractional differential inclusions with anti-periodic boundary conditions. Zbl 1412.34073 Ahmad, Bashir; Nieto, Juan J. 6 2012 Analytical solution for the generalized time-fractional telegraph equation. Zbl 1412.35366 Chaurasia, V. B. L.; Dubey, Ravi Shanker 6 2013 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 Existence of an unbounded solution for multi-point boundary value problems of fractional differential equations on an infinite domain. Zbl 1412.34025 Gholami, Yousef 6 2014 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 Opial type integral inequalities for fractional derivatives. II. Zbl 1412.26049 Farid, G.; Pečarić, J. 5 2012 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 Some new oscillation criteria for a class of nonlinear fractional differential equations. Zbl 1424.34040 Pan, Yuanyuan; Xu, Run 5 2016 A nonlocal fractional Helmholtz equation. Zbl 1424.35348 Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T. 5 2017 Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014 Jonnalagadda, Jagan Mohan 5 2017 Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047 Timoumi, Mohsen 5 2018 On the backward problems in time for time-fractional subdiffusion equations. Zbl 1499.35613 Alimov, Shavkat; Ashurov, Ravshan 5 2021 On controllability of linear and nonlinear fractional integrodifferential systems. Zbl 1449.93005 Matar, Mohammed M. 5 2019 Existence of mild solutions for impulsive fractional functional integro-differential equations. Zbl 1415.34122 Gautam, Ganga Ram; Dabas, Jaydev 5 2015 Maximal solutions to fractional differential equations. Zbl 1412.34043 Tisdell, Christopher C. 5 2015 About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation. Zbl 1424.45009 Karimov, E. T.; López, B.; Sadarangani, K. 5 2016 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. 4 2020 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 and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations. Zbl 1412.34044 Toumi, Faten 4 2015 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 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 Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048 Tisdell, Christopher C. 4 2018 Grünwald-Letnikov fractional operators: from past to present. Zbl 1499.39087 Atıcı, Ferhan M.; Chang, Samuel; Jonnalagadda, Jagan 3 2021 The generalized Abel’s integral equations on \(R^n\) with variable coefficients. Zbl 1488.45014 Li, Chenkuan 3 2020 Weighted Hardy-type inequalities for monotone convex functions with some applications. Zbl 1412.26050 Iqbal, Sajid; Krulić Himmelreich, Kristina; Pečarić, Josip 3 2013 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 Kallman-Rota type inequality for discrete evolution families of bounded linear operators. Zbl 1424.47109 Zada, Akbar; Riaz, Usman 3 2017 On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012 Cernea, Aurelian 3 2019 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 An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033 Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip 3 2015 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 3 2016 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 Solvability of a non-local problem with integral gluing condition for mixed type equation with Erdelyi-Kober operators. Zbl 1424.35263 Abdullaev, Obidjon Kh. 3 2017 Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222 Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N. 3 2018 On the uniqueness of solutions of two inverse problems for the subdiffusion equation. Zbl 1524.35673 Ashurov, Ravshan; Fayziev, Yusuf 2 2022 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 Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and integral boundary conditions. Zbl 1415.34022 Ntouyas, Sotiris K. 2 2013 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 Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432 Kong, Huanhuan; Xu, Run 2 2017 Minimal and maximal solutions for a fractional boundary value problem at resonance on the half line. Zbl 1424.34028 Khaldi, Rabah; Guezane-Lakoud, Assia 2 2018 On criteria of existence for nonlinear Katugampola fractional differential equations with \(p\)-Laplacian operator. Zbl 1513.34018 Arioua, Yacine; Ma, Li 2 2021 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 Nonlinear fractional differential equations with \(m\)-point integral boundary conditions. Zbl 1438.34022 Cerdik, Tugba Senlik; Hamal, Nuket Aykut; Deren, Fulya Yoruk 2 2019 Variation formulae for time varying singular fractional delay differential systems. Zbl 1416.34060 Wei, Jiang 2 2011 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 Lie symmetry analysis to general time-fractional Korteweg-de Vries equations. Zbl 1415.35249 Zhang, Youwei 2 2015 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 New boundary value problems for higher order impulsive fractional differential equations and their solvability. Zbl 1438.34001 Liu, Yuji; Yang, Xiaohui 2 2017 Addendum to: “Some discrete fractional Lyapunov-type inequalities”. Zbl 1457.34010 Ferreira, Rui A. C. 2 2018 On the approximate controllability for fractional neutral inclusion systems with nonlocal conditions. Zbl 07818963 Elghandouri, Mohammed; Ezzinbi, Khalil 1 2023 A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion. Zbl 07818964 Guerngar, Ngartelbaye; Nane, Erkan; Ulusoy, Suleyman; van Wyk, Hans Werner 1 2023 Solvability for iterative systems of Hadamard fractional boundary value problems. Zbl 07818966 Krushna, B. M. B.; Raju, V. V. R. R. B.; Prasad, K. R.; Srinivas, M. A. 1 2023 On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator. Zbl 1524.35412 Toshtemirov, Bakhodirjon 1 2022 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 Existence results, inequalities and a priori bounds to fractional boundary value problems. Zbl 1513.34022 Fewster-Young, Nicholas 1 2021 A new generalization of \(q\)-Hermite-Hadamard type integral inequalities for \(p\), \((p-s)\) and modified \((p-s)\)-convex functions. Zbl 1538.26085 Gulshan, Ghazala; Hussain, Rashida; Budak, Hüseyin 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 Hermite-Hadamard weighted integral inequalities for \((h,m)\)-convex modified functions. Zbl 1524.26049 Bayraktar, Bahtiyar; Valdés, Juan E. Nápoles 1 2022 On the approximate controllability for fractional neutral inclusion systems with nonlocal conditions. Zbl 07818963 Elghandouri, Mohammed; Ezzinbi, Khalil 1 2023 A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion. Zbl 07818964 Guerngar, Ngartelbaye; Nane, Erkan; Ulusoy, Suleyman; van Wyk, Hans Werner 1 2023 Solvability for iterative systems of Hadamard fractional boundary value problems. Zbl 07818966 Krushna, B. M. B.; Raju, V. V. R. R. B.; Prasad, K. R.; Srinivas, M. A. 1 2023 On the uniqueness of solutions of two inverse problems for the subdiffusion equation. Zbl 1524.35673 Ashurov, Ravshan; Fayziev, Yusuf 2 2022 On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator. Zbl 1524.35412 Toshtemirov, Bakhodirjon 1 2022 A new generalization of \(q\)-Hermite-Hadamard type integral inequalities for \(p\), \((p-s)\) and modified \((p-s)\)-convex functions. Zbl 1538.26085 Gulshan, Ghazala; Hussain, Rashida; Budak, Hüseyin 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 Hermite-Hadamard weighted integral inequalities for \((h,m)\)-convex modified functions. Zbl 1524.26049 Bayraktar, Bahtiyar; Valdés, Juan E. 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. 10 2021 On the backward problems in time for time-fractional subdiffusion equations. Zbl 1499.35613 Alimov, Shavkat; Ashurov, Ravshan 5 2021 Grünwald-Letnikov fractional operators: from past to present. Zbl 1499.39087 Atıcı, Ferhan M.; Chang, Samuel; Jonnalagadda, Jagan 3 2021 On criteria of existence for nonlinear Katugampola fractional differential equations with \(p\)-Laplacian operator. Zbl 1513.34018 Arioua, Yacine; Ma, Li 2 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 Existence results, inequalities and a priori bounds to fractional boundary value problems. Zbl 1513.34022 Fewster-Young, Nicholas 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 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 9 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. 4 2020 The generalized Abel’s integral equations on \(R^n\) with variable coefficients. Zbl 1488.45014 Li, Chenkuan 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 Ostrowski and trapezoid type inequalities for Riemann-Liouville fractional integrals of absolutely continuous functions with bounded derivatives. Zbl 1488.26058 Dragomir, Silvestru Sever 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 10 2019 Fractional resolvent operator with \(\alpha \in (0,1)\) and applications. Zbl 1463.34290 Carvalho dos Santos, José Paulo 7 2019 On controllability of linear and nonlinear fractional integrodifferential systems. Zbl 1449.93005 Matar, Mohammed M. 5 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 On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012 Cernea, Aurelian 3 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 Nonlinear fractional differential equations with \(m\)-point integral boundary conditions. Zbl 1438.34022 Cerdik, Tugba Senlik; Hamal, Nuket Aykut; Deren, Fulya Yoruk 2 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 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 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 Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions. Zbl 1424.34012 Benhamida, Wafaa; Graef, John R.; Hamani, Samira 11 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 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 Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047 Timoumi, Mohsen 5 2018 Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048 Tisdell, Christopher C. 4 2018 Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222 Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N. 3 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 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 Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334 Agarwal, Ritu; Jain, Sonal; Agarwal, R. P. 8 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 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 A nonlocal fractional Helmholtz equation. Zbl 1424.35348 Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T. 5 2017 Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014 Jonnalagadda, Jagan Mohan 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 Kallman-Rota type inequality for discrete evolution families of bounded linear operators. Zbl 1424.47109 Zada, Akbar; Riaz, Usman 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 Solvability of a non-local problem with integral gluing condition for mixed type equation with Erdelyi-Kober operators. Zbl 1424.35263 Abdullaev, Obidjon Kh. 3 2017 Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432 Kong, Huanhuan; Xu, Run 2 2017 New boundary value problems for higher order impulsive fractional differential equations and their solvability. Zbl 1438.34001 Liu, Yuji; Yang, Xiaohui 2 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 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 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 37 2016 Elasticity for economic processes with memory: fractional differential calculus approach. Zbl 1438.91059 Tarasova, Valentina V.; Tarasov, Vasily E. 21 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 7 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. 5 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 3 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. 14 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 Existence of mild solutions for impulsive fractional functional integro-differential equations. Zbl 1415.34122 Gautam, Ganga Ram; Dabas, Jaydev 5 2015 Maximal solutions to fractional differential equations. Zbl 1412.34043 Tisdell, Christopher C. 5 2015 Existence and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations. Zbl 1412.34044 Toumi, Faten 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 An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033 Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip 3 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 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 Lie symmetry analysis to general time-fractional Korteweg-de Vries equations. Zbl 1415.35249 Zhang, Youwei 2 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. 22 2014 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 908 Authors 22 Farid, Ghulam 17 Saoudi, Kamel 13 Ashurov, Ravshan Rajabovich 13 Nwaeze, Eze Raymond 11 Ahmad, Bashir 10 Liu, Yuji 10 Shah, Kamal 9 Tarasov, Vasily E. 8 Băleanu, Dumitru I. 8 Eshaghi, Shiva 8 Jonnalagadda, Jagan Mohan 8 Zada, Akbar 7 Abdeljawad, Thabet 7 Al-saedi, Ahmed Eid Salem 7 Ansari, Alireza 7 Choudhuri, Debajyoti 7 Chu, Yuming 7 Mahreen, Kahkashan 7 Ntouyas, Sotiris K. 7 Purohit, Sunil Dutt 7 Sooppy Nisar, Kottakkaran 7 Sweilam, Nasser Hassan 7 Tomovski, Živorad 7 Torebek, Berikbol Tillabayuly 6 Ardjouni, Abdelouaheb 6 Khaliq, Abdul Qayyum Masud 6 Kolokoltsov, Vassili N. 6 Kratou, Mouna 6 Pečarić, Josip 6 Prasad, Kapula Rajendra 6 Qi, Feng 5 Akrout, Kamel 5 Bayraktar, Bahtiyar 5 Biala, Toheeb A. 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 Seba, Djamila 5 Selvakumaran, Kuppathai A. 5 Tarasova, Valentina V. 5 Tatar, Nasser-eddine 4 Ali, Amjad 4 Alzabut, Jehad O. 4 Budak, Hüseyin 4 Dabas, Jaydev 4 Daoues, Adel 4 Djoudi, Ahcene 4 Edelman, Mark 4 Fayziev, Yusuf Ergashevich 4 Graef, John R. 4 Hammami, Amani 4 Jung, Chahn Yong 4 Khan, Rahmat Ali 4 Kirane, Mokhtar 4 Krushna, Boddu Muralee Bala 4 Kucche, Kishor D. 4 Lachouri, Adel 4 Matar, Mohammed M. 4 Nazeer, Waqas 4 O’Regan, Donal 4 Rahman, Gauhar 4 Rao, Sabbavarapu Nageswara 4 Rezapour, Shahram 4 Riaz, Usman 4 Sandev, Trifce 4 Suragan, Durvudkhan 4 Vasylyeva, Nataliya V. 4 Xu, Jiafa 3 Abdullaev, Obidjon Khayrullayevich 3 Agarwal, Praveen 3 Agarwal, Ravi P. 3 Al-Mekhlafi, Seham Mahyoub 3 Albalawi, Anan O. 3 Andrić, Maja 3 Benchohra, Mouffak 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 Ghaziani, Reza Khoshsiar 3 Giusti, Andrea 3 Gopal, N. S. 3 Gupta, Vidushi 3 Henderson, Johnny Lee 3 Hussain, Wajid 3 Kang, Shin Min 3 Kefi, Khaled 3 Khan, Muhammad Adil 3 Khuddush, Mahammad 3 Kumam, Poom 3 Luo, Yan 3 Lyons, Benjamin ...and 808 more Authors all top 5 Cited in 205 Journals 30 Fractional Differential Calculus 24 Advances in Difference Equations 23 Mathematical Methods in the Applied Sciences 23 Fractional Calculus & Applied Analysis 16 AIMS Mathematics 13 Boundary Value Problems 12 Filomat 12 Journal of Inequalities and Applications 10 Computational and Applied Mathematics 10 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Applied Analysis and Computation 8 Computers & Mathematics with Applications 8 Chaos, Solitons and Fractals 8 Journal of Function Spaces 7 Abstract and Applied Analysis 7 Differential Equations and Applications 6 Turkish Journal of Mathematics 6 Mathematical Problems in Engineering 6 Nonlinear Dynamics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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Studia Mathematica 2 Journal of Pseudo-Differential Operators and Applications 2 Ufimskiĭ Matematicheskiĭ Zhurnal ...and 105 more Journals all top 5 Cited in 41 Fields 277 Ordinary differential equations (34-XX) 229 Real functions (26-XX) 169 Partial differential equations (35-XX) 115 Operator theory (47-XX) 55 Numerical analysis (65-XX) 41 Difference and functional equations (39-XX) 38 Integral equations (45-XX) 36 Special functions (33-XX) 25 Biology and other natural sciences (92-XX) 23 Systems theory; control (93-XX) 17 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) 13 Dynamical systems and ergodic theory (37-XX) 11 Functional analysis (46-XX) 10 Integral transforms, operational calculus (44-XX) 9 Approximations and expansions (41-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Fluid mechanics (76-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 particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 2 Quantum theory (81-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) Citations by Year