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: 177 Publications (since 2011) References Indexed: 177 Publications with 4,319 References. all top 5 Latest Issues 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 El-Sayed, Ahmed Mohamed Ahmed 4 Ntouyas, Sotiris K. 3 Budak, Hüseyin 3 Cernea, Aurelian 3 Gholami, Yousef 3 Iqbal, Sajid 3 Kashuri, Artion 3 Khan, Asif Raza 3 Lopushans’ka, Galyna Petrovna 3 N’Guérékata, Gaston Mandata 3 Tomovski, Živorad 2 Abbas, Said 2 Agarwal, Ravi P. 2 Andrić, Maja 2 Ardjouni, Abdelouaheb 2 Ashurov, Ravshan Rajabovich 2 Bairagi, Nandadulal 2 Benmezaï, Abdelhamid 2 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 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 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 1 Dorsaf, Hnaien 1 Dos Santos, José Paulo Carvalho 1 Du, Tingsong ...and 166 more Authors all top 5 Fields 92 Real functions (26-XX) 85 Ordinary differential equations (34-XX) 35 Partial differential equations (35-XX) 26 Operator theory (47-XX) 16 Difference and functional equations (39-XX) 10 Special functions (33-XX) 9 Integral equations (45-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) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 484 times in 440 Documents Cited by ▼ Year ▼ The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator. Zbl 1438.35428Ghanmi, Abdeljabbar; Saoudi, Kamel 31 2016 Some properties of Prabhakar-type fractional calculus operators. Zbl 1424.26017Polito, Federico; Tomovski, Živorad 25 2016 Existence and uniqueness of solutions for nonlinear fractional differential equations with integral boundary conditions. Zbl 1412.34034Khan, Rahmat Ali; Ur Rehman, Mujeeb; Henderson, Johnny 20 2011 Elasticity for economic processes with memory: fractional differential calculus approach. Zbl 1438.91059Tarasova, Valentina V.; Tarasov, Vasily E. 19 2016 Homotopy perturbation method to fractional biological population equation. Zbl 1412.35067Liu, Yanqin; Li, Zhaoli; Zhang, Yueyun 17 2011 Mathematical modeling of anomalous diffusion in porous media. Zbl 1412.35369Fomin, Sergei; Chugunov, Vladimir; Hashida, Toshiyuki 15 2011 Well-posedness and regularity of the Cauchy problem for nonlinear fractional in time and space equations. Zbl 1412.35370Kolokoltsov, V. N.; Veretennikova, M. A. 14 2014 Some discrete fractional Lyapunov-type inequalities. Zbl 1412.34023Ferreira, Rui A. C. 14 2015 Inequalities of the Hermite-Hadamard type for quasi-convex functions via the \((k,s)\)-Riemann-Liouville fractional integrals. Zbl 1424.26015Nwaeze, Eze R. 12 2018 A new class of multivalently analytic functions associated with fractional \(q\)-calculus operators. Zbl 1412.30071Purohit, Sunil Dutt 11 2012 Global existence and uniqueness for implicit differential equation of arbitrary order. Zbl 1415.34028Sutar, Sagar T.; Kucche, Kishor D. 11 2015 On the stability analysis of weighted average finite difference methods for fractional wave equation. Zbl 1412.35196Sweilam, N. H.; Khader, M. M.; Adel, M. 10 2012 Existence and uniqueness of solutions for fractional order \(m\)-point boundary value problems. Zbl 1415.34026Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali 10 2015 Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086Graef, John R.; Kong, Lingju; Kong, Qingkai 9 2012 Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals of \((\alpha,m)\)-convex functions. Zbl 1412.26010Shi, De-Ping; Xi, Bo-Yan; Qi, Feng 8 2014 An ordering on Green’s function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems. Zbl 1449.39018Jonnalagadda, Jagan Mohan 8 2019 Comparison results for periodic boundary value problem of fractional differential equations. Zbl 1412.34038Nieto, Juan J. 7 2011 Nonlocal boundary value problems for hybrid fractional differential equations and inclusions of Hadamard type. Zbl 1412.34006Ahmad, Bashir; Ntouyas, Sotiris K. 7 2015 Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales. Zbl 1424.34331Yaslan, Ismail; Liceli, Onur 7 2016 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 1424.26049Dragomir, Silvestru Sever 7 2018 Initial-boundary value and inverse problems for subdiffusion equations in \(\mathbb{R}^N\). Zbl 1488.35552Ashurov, Ravshan; Zunnunov, Rakhim 6 2020 A study of impulsive fractional differential inclusions with anti-periodic boundary conditions. Zbl 1412.34073Ahmad, Bashir; Nieto, Juan J. 6 2012 Opial type integral inequalities for fractional derivatives. Zbl 1412.26048Farid, G.; Pečarić, J. 6 2012 Boundary value problems for fractional differential inclusions in Banach spaces. Zbl 1415.34103Benchohra, Mouffak; Henderson, Johnny; Seba, Djamila 6 2012 Opial-type inequalities for fractional integral operator involving Mittag-Leffler function. Zbl 1412.26047Farid, Ghulam; Pečarić, Josip; Tomovski, Zivorad 6 2015 Some \(k\)-fractional associates of Hermite-Hadamard’s inequality for quasi-convex functions and applications to special means. Zbl 1424.26052Hussain, R.; Ali, A.; Latif, A.; Gulshan, G. 6 2017 Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions. Zbl 1424.34012Benhamida, Wafaa; Graef, John R.; Hamani, Samira 6 2018 Generalized almost automorphic and generalized asymptotically almost automorphic solutions of abstract Volterra integro-differential inclusions. Zbl 1424.45021Kostić, Marko 6 2018 Analytical solution for the generalized time-fractional telegraph equation. Zbl 1412.35366Chaurasia, V. B. L.; Dubey, Ravi Shanker 5 2013 Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334Agarwal, Ritu; Jain, Sonal; Agarwal, R. P. 5 2017 A nonlocal fractional Helmholtz equation. Zbl 1424.35348Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T. 5 2017 Existence theory for fractional-order neutral boundary value problems. Zbl 1424.34007Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed; Alnahdi, Manal 5 2018 Integral inequalities within the framework of generalized fractional integrals. Zbl 1499.26117Guzmán, Paulo M.; Nápoles Valdés, Juan E.; Gasimov, Yusif S. 4 2021 Opial type integral inequalities for fractional derivatives. II. Zbl 1412.26049Farid, G.; Pečarić, J. 4 2012 Blowing-up solutions and global solutions to a fractional differential equation. Zbl 1412.34021Dorsaf, Hnaien; Ferdaous, Kellil; Rafika, Lassoued 4 2014 On a local solvability of the multidimensional Muskat problem with a fractional derivative in time on the boundary condition. Zbl 1412.35387Vasylyeva, Nataliya 4 2014 Existence of an unbounded solution for multi-point boundary value problems of fractional differential equations on an infinite domain. Zbl 1412.34025Gholami, Yousef 4 2014 Existence and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations. Zbl 1412.34044Toumi, Faten 4 2015 Some new oscillation criteria for a class of nonlinear fractional differential equations. Zbl 1424.34040Pan, Yuanyuan; Xu, Run 4 2016 Fractional calculus of variations with a generalized fractional derivative. Zbl 1438.49035Askari, Hassan; Ansari, Alireza 4 2016 On controllability of linear and nonlinear fractional integrodifferential systems. Zbl 1449.93005Matar, Mohammed M. 4 2019 Approximation of time fractional Black-Scholes equation via radial kernels and transformations. Zbl 1438.65255Uddin, Marjan; Taufiq, Muhammad 4 2019 Global stability of a Leslie-Gower-type fractional order tritrophic food chain model. Zbl 1438.34159Mondal, Shuvojit; Bairagi, Nandadulal; N’Guerekata, Gaston M. 4 2019 The generalized Abel’s integral equations on \(R^n\) with variable coefficients. Zbl 1488.45014Li, Chenkuan 3 2020 Grünwald-Letnikov fractional operators: from past to present. Zbl 1499.39087Atıcı, Ferhan M.; Chang, Samuel; Jonnalagadda, Jagan 3 2021 Existence of three positive solutions for boundary value problems of singular fractional differential equations. Zbl 1412.92264Liu, Yuji 3 2012 Multiple positive solutions for nonlinear fractional differential systems. Zbl 1412.34039Nyamoradi, Nemat; Bashiri, Tahereh 3 2012 Weighted Hardy-type inequalities for monotone convex functions with some applications. Zbl 1412.26050Iqbal, Sajid; Krulić Himmelreich, Kristina; Pečarić, Josip 3 2013 An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip 3 2015 Existence of mild solutions for impulsive fractional functional integro-differential equations. Zbl 1415.34122Gautam, Ganga Ram; Dabas, Jaydev 3 2015 Positive solutions to iterative systems of fractional order three-point boundary value problems with Riemann-Liouville derivative. Zbl 1415.34024Prasad, K. R.; Krushna, B. M. B. 3 2015 About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation. Zbl 1424.45009Karimov, E. T.; López, B.; Sadarangani, K. 3 2016 Continuous dependence of the solution of random fractional-order differential equation with nonlocal conditions. Zbl 1438.34028El-Sayed, A. M. A.; Gaafar, F.; El-Gendy, M. 3 2017 Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014Jonnalagadda, Jagan Mohan 3 2017 Representation of solutions of linear inhomogeneous Caputo fractional differential equation with continuous variable coefficient by Green function. Zbl 1438.34049Pak, Sunae; Choi, Huichol; Sin, Kinam 3 2017 Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048Tisdell, Christopher C. 3 2018 Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047Timoumi, Mohsen 3 2018 Remarks on the linear fractional integro-differential equation with variable coefficients in distribution. Zbl 1488.46075Li, Chenkuan; Huang, Jianfei 2 2020 Mean value theorems associated to the differences of Opial-type inequalities and their fractional versions. Zbl 1488.26073Rehman, Atiq Ur; Farid, Ghulam; Mehboob, Yasir 2 2020 Fractional resolvent operator with \(\alpha \in (0,1)\) and applications. Zbl 1463.34290Carvalho dos Santos, José Paulo 2 2019 Unique positive solution for nonlinear Caputo-type fractional \(q\)-difference equations with nonlocal and Stieltjes integral boundary conditions. Zbl 1463.39012Salamooni, Ahmad Y. A.; Pawar, D. D. 2 2019 Variation formulae for time varying singular fractional delay differential systems. Zbl 1416.34060Wei, Jiang 2 2011 Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and integral boundary conditions. Zbl 1415.34022Ntouyas, Sotiris K. 2 2013 Existence and uniqueness of mild solution for nonlocal impulsive integro-differential equation with state dependent delay. Zbl 1412.34024Gautam, Ganga Ram; Chauhan, Archana; Dabas, Jaydev 2 2014 Maximal solutions to fractional differential equations. Zbl 1412.34043Tisdell, Christopher C. 2 2015 A problem with an integral boundary condition for a time fractional diffusion equation and an inverse problem. Zbl 1424.35359Lopushanska, Halyna 2 2016 Remark to history of fractional derivatives on complex plane: Sonine-Letnikov and Nishimoto derivatives. Zbl 1424.26001Tarasov, Vasily E. 2 2016 Time-fractional diffusion equation with dynamical boundary condition. Zbl 1424.35349Krasnoschok, Mykola 2 2016 Positive solutions for boundary value problems of \(N\)-dimension nonlinear fractional differential system with integral boundary conditions. Zbl 1424.34013Benmezaï, Abdelhamid; Saadi, Abdelkader 2 2017 Kallman-Rota type inequality for discrete evolution families of bounded linear operators. Zbl 1424.47109Zada, Akbar; Riaz, Usman 2 2017 Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432Kong, Huanhuan; Xu, Run 2 2017 Solvability of a non-local problem with integral gluing condition for mixed type equation with Erdelyi-Kober operators. Zbl 1424.35263Abdullaev, Obidjon Kh. 2 2017 Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N. 2 2018 Addendum to: “Some discrete fractional Lyapunov-type inequalities”. Zbl 1457.34010Ferreira, Rui A. C. 2 2018 Weak solutions for Caputo-Pettis fractional \(q\)-difference inclusions. Zbl 1513.39004Abbas, Saïd; Ahmad, Bashir; Benchohra, Mouffak; Ntouyas, Sotiris 1 2020 Generalized Ostrowski-type inequalities for \(s\)-convex functions on the coordinates via fractional integrals. Zbl 1488.26071Kermausuor, Seth 1 2020 On fractional mean value theorems associated with Hadamard fractional calculus and application. Zbl 1488.26018Ma, Li; Liu, Chengcheng; Liu, Ruilin; Wang, Bo; Zhu, Yixuan 1 2020 On weighted fractional inequalities using generalized Katugampola fractional integral operator. Zbl 1488.26128Panchal, Satish K.; Chinchane, Vaijanath L.; Nale, Asha B. 1 2020 On the stability and stabilization of some semilinear fractional differential equations in Banach spaces. Zbl 1499.34328Tiomela, R. G. Foko; Norouzi, F.; N’guérékata, G. M.; Mophou, G. 1 2020 On nonlinear Volterra-Fredholm type discrete fractional sum inequalities. Zbl 1499.26133Kendre, Subhash; Kale, Nagesh 1 2021 On criteria of existence for nonlinear Katugampola fractional differential equations with \(p\)-Laplacian operator. Zbl 1513.34018Arioua, Yacine; Ma, Li 1 2021 Positive solutions of m-point fractional boundary value problem on the half line. Zbl 1463.34099Oz, Dondu; Karaca, Ilkay 1 2019 On an integro-differential equation of arbitrary (fractional) orders with nonlocal integral and infinite-point boundary conditions. Zbl 1474.45051El-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 1463.34301Medved, Milan; Brestovanská, Eva 1 2019 Existence of positive solutions for regular fractional Sturm-Liouville problems. Zbl 1449.34018Haghi, Tahereh; Ghanbari, Kazem; Mingarelli, Angelo B. 1 2019 Path probability of random fractional systems defined by white noises in coarse-grained time. Application of fractional entropy. Zbl 1412.60059Jumarie, Guy 1 2011 Fractional difference inequalities of Opial type and initial value problem. Zbl 1412.39004Deekshitulu, G. V. S. R.; Mohan, J. Jagan 1 2012 Existence of mild solutions for nonlocal semilinear fractional evolution equations. Zbl 1412.34019Cao, Junfei 1 2014 Finite difference method for solving the space-time fractional wave equation in the Caputo form. Zbl 1412.35361Afshari, Elham; Sepehrian, Behnam; Nazari, Ali Mohamad 1 2015 Existence and multiplicity results for the boundary value problem of nonlinear fractional differential equations. Zbl 1415.34023Pan, Lijun 1 2015 On the Cauchy problem of a delay stochastic differential equation of arbitrary (fractional) orders. Zbl 1415.34015El-Sayed, A. M. A.; Eladdad, E. E.; Madkour, H. F. A. 1 2015 Existence of global solutions of impulsive IVPs of singular fractional differential systems on half line. Zbl 1438.34044Liu, Yuji 1 2016 Solvability and positive solutions of a system of higher order fractional boundary value problem with integral conditions. Zbl 1424.34027Jebari, Rochdi 1 2016 Existence of positive solutions for coupled systems of half-linear boundary value problems involving Caputo fractional derivatives. Zbl 1438.34032Gholami, Yousef; Ghanbari, Kazem 1 2016 Chebyshev type inequality on nabla discrete fractional calculus. Zbl 1424.26043Asliyüce, Serkan; Güvenilir, Feza 1 2016 A fractional rate model of learning. Zbl 1438.91101Dassios, George; Fragoyiannis, George; Satrazemi, Konstantia 1 2016 New boundary value problems for higher order impulsive fractional differential equations and their solvability. Zbl 1438.34001Liu, Yuji; Yang, Xiaohui 1 2017 Green Function’s new property and its application to the solution for a higher-order fractional boundary value problem. Zbl 1424.34034Ma, Dexiang 1 2017 Solvability for a system of nonlinear fractional higher-order three-point boundary value problem. Zbl 1424.34037Nageswara Rao, Sabbavarapu 1 2017 Existence and uniqueness of solutions for nonlinear fractional nabla difference systems with initial conditions. Zbl 1424.39046Boulares, Hamid; Ardjouni, Abdelouaheb; Laskri, Yamina 1 2017 Integral inequalities within the framework of generalized fractional integrals. Zbl 1499.26117Guzmán, Paulo M.; Nápoles Valdés, Juan E.; Gasimov, Yusif S. 4 2021 Grünwald-Letnikov fractional operators: from past to present. Zbl 1499.39087Atıcı, Ferhan M.; Chang, Samuel; Jonnalagadda, Jagan 3 2021 On nonlinear Volterra-Fredholm type discrete fractional sum inequalities. Zbl 1499.26133Kendre, Subhash; Kale, Nagesh 1 2021 On criteria of existence for nonlinear Katugampola fractional differential equations with \(p\)-Laplacian operator. Zbl 1513.34018Arioua, Yacine; Ma, Li 1 2021 Initial-boundary value and inverse problems for subdiffusion equations in \(\mathbb{R}^N\). Zbl 1488.35552Ashurov, Ravshan; Zunnunov, Rakhim 6 2020 The generalized Abel’s integral equations on \(R^n\) with variable coefficients. Zbl 1488.45014Li, Chenkuan 3 2020 Remarks on the linear fractional integro-differential equation with variable coefficients in distribution. Zbl 1488.46075Li, Chenkuan; Huang, Jianfei 2 2020 Mean value theorems associated to the differences of Opial-type inequalities and their fractional versions. Zbl 1488.26073Rehman, Atiq Ur; Farid, Ghulam; Mehboob, Yasir 2 2020 Weak solutions for Caputo-Pettis fractional \(q\)-difference inclusions. Zbl 1513.39004Abbas, Saïd; Ahmad, Bashir; Benchohra, Mouffak; Ntouyas, Sotiris 1 2020 Generalized Ostrowski-type inequalities for \(s\)-convex functions on the coordinates via fractional integrals. Zbl 1488.26071Kermausuor, Seth 1 2020 On fractional mean value theorems associated with Hadamard fractional calculus and application. Zbl 1488.26018Ma, Li; Liu, Chengcheng; Liu, Ruilin; Wang, Bo; Zhu, Yixuan 1 2020 On weighted fractional inequalities using generalized Katugampola fractional integral operator. Zbl 1488.26128Panchal, Satish K.; Chinchane, Vaijanath L.; Nale, Asha B. 1 2020 On the stability and stabilization of some semilinear fractional differential equations in Banach spaces. Zbl 1499.34328Tiomela, R. G. Foko; Norouzi, F.; N’guérékata, G. M.; Mophou, G. 1 2020 An ordering on Green’s function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems. Zbl 1449.39018Jonnalagadda, Jagan Mohan 8 2019 On controllability of linear and nonlinear fractional integrodifferential systems. Zbl 1449.93005Matar, Mohammed M. 4 2019 Approximation of time fractional Black-Scholes equation via radial kernels and transformations. Zbl 1438.65255Uddin, Marjan; Taufiq, Muhammad 4 2019 Global stability of a Leslie-Gower-type fractional order tritrophic food chain model. Zbl 1438.34159Mondal, Shuvojit; Bairagi, Nandadulal; N’Guerekata, Gaston M. 4 2019 Fractional resolvent operator with \(\alpha \in (0,1)\) and applications. Zbl 1463.34290Carvalho dos Santos, José Paulo 2 2019 Unique positive solution for nonlinear Caputo-type fractional \(q\)-difference equations with nonlocal and Stieltjes integral boundary conditions. Zbl 1463.39012Salamooni, Ahmad Y. A.; Pawar, D. D. 2 2019 Positive solutions of m-point fractional boundary value problem on the half line. Zbl 1463.34099Oz, Dondu; Karaca, Ilkay 1 2019 On an integro-differential equation of arbitrary (fractional) orders with nonlocal integral and infinite-point boundary conditions. Zbl 1474.45051El-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 1463.34301Medved, Milan; Brestovanská, Eva 1 2019 Existence of positive solutions for regular fractional Sturm-Liouville problems. Zbl 1449.34018Haghi, Tahereh; Ghanbari, Kazem; Mingarelli, Angelo B. 1 2019 Nonlinear fractional differential equations with \(m\)-point integral boundary conditions. Zbl 1438.34022Cerdik, Tugba Senlik; Hamal, Nuket Aykut; Deren, Fulya Yoruk 1 2019 Some perturbed versions of the generalized trapezoid type inequalities for twice differentiable functions. Zbl 1438.26050Budak, Hüseyin; Noeiaghdam, Samad 1 2019 On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012Cernea, Aurelian 1 2019 Inequalities of the Hermite-Hadamard type for quasi-convex functions via the \((k,s)\)-Riemann-Liouville fractional integrals. Zbl 1424.26015Nwaeze, 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 1424.26049Dragomir, Silvestru Sever 7 2018 Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions. Zbl 1424.34012Benhamida, Wafaa; Graef, John R.; Hamani, Samira 6 2018 Generalized almost automorphic and generalized asymptotically almost automorphic solutions of abstract Volterra integro-differential inclusions. Zbl 1424.45021Kostić, Marko 6 2018 Existence theory for fractional-order neutral boundary value problems. Zbl 1424.34007Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed; Alnahdi, Manal 5 2018 Improved mathematical results and simplified pedagogical approaches for Gronwall’s inequality for fractional calculus. Zbl 1424.34048Tisdell, Christopher C. 3 2018 Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems. Zbl 1424.34047Timoumi, Mohsen 3 2018 Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type. Zbl 1438.34222Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N. 2 2018 Addendum to: “Some discrete fractional Lyapunov-type inequalities”. Zbl 1457.34010Ferreira, Rui A. C. 2 2018 Shifted Chebyshev spectral-collocation method for solving optimal control of fractional multi-strain tuberculosis model. Zbl 1424.37049Sweilam, Nasser; Al-Mekhlafi, Seham 1 2018 Non-existence results and analytical bounds of eigenvalues for a class of fractional eigenvalue problems. Zbl 1424.34011Al-Refai, Mohammed 1 2018 Some \(k\)-fractional integral inequalities for harmonically convex functions. Zbl 1424.26045Ayub, Waqas; Farid, Ghulam 1 2018 Qualitative results for solutions to nonlinear Caputo differential equations satisfying the Osgood condition. Zbl 1424.34039Palani, 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 1424.34028Khaldi, Rabah; Guezane-Lakoud, Assia 1 2018 Some \(k\)-fractional associates of Hermite-Hadamard’s inequality for quasi-convex functions and applications to special means. Zbl 1424.26052Hussain, R.; Ali, A.; Latif, A.; Gulshan, G. 6 2017 Analytic solution of generalized space time fractional reaction diffusion equation. Zbl 1424.35334Agarwal, Ritu; Jain, Sonal; Agarwal, R. P. 5 2017 A nonlocal fractional Helmholtz equation. Zbl 1424.35348Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T. 5 2017 Continuous dependence of the solution of random fractional-order differential equation with nonlocal conditions. Zbl 1438.34028El-Sayed, A. M. A.; Gaafar, F.; El-Gendy, M. 3 2017 Quasi-periodic solutions of fractional nabla difference systems. Zbl 1438.39014Jonnalagadda, Jagan Mohan 3 2017 Representation of solutions of linear inhomogeneous Caputo fractional differential equation with continuous variable coefficient by Green function. Zbl 1438.34049Pak, Sunae; Choi, Huichol; Sin, Kinam 3 2017 Positive solutions for boundary value problems of \(N\)-dimension nonlinear fractional differential system with integral boundary conditions. Zbl 1424.34013Benmezaï, Abdelhamid; Saadi, Abdelkader 2 2017 Kallman-Rota type inequality for discrete evolution families of bounded linear operators. Zbl 1424.47109Zada, Akbar; Riaz, Usman 2 2017 Forced oscillation of fractional partial differential equations with damping term. Zbl 1438.35432Kong, Huanhuan; Xu, Run 2 2017 Solvability of a non-local problem with integral gluing condition for mixed type equation with Erdelyi-Kober operators. Zbl 1424.35263Abdullaev, Obidjon Kh. 2 2017 New boundary value problems for higher order impulsive fractional differential equations and their solvability. Zbl 1438.34001Liu, Yuji; Yang, Xiaohui 1 2017 Green Function’s new property and its application to the solution for a higher-order fractional boundary value problem. Zbl 1424.34034Ma, Dexiang 1 2017 Solvability for a system of nonlinear fractional higher-order three-point boundary value problem. Zbl 1424.34037Nageswara Rao, Sabbavarapu 1 2017 Existence and uniqueness of solutions for nonlinear fractional nabla difference systems with initial conditions. Zbl 1424.39046Boulares, Hamid; Ardjouni, Abdelouaheb; Laskri, Yamina 1 2017 The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator. Zbl 1438.35428Ghanmi, Abdeljabbar; Saoudi, Kamel 31 2016 Some properties of Prabhakar-type fractional calculus operators. Zbl 1424.26017Polito, Federico; Tomovski, Živorad 25 2016 Elasticity for economic processes with memory: fractional differential calculus approach. Zbl 1438.91059Tarasova, Valentina V.; Tarasov, Vasily E. 19 2016 Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales. Zbl 1424.34331Yaslan, Ismail; Liceli, Onur 7 2016 Some new oscillation criteria for a class of nonlinear fractional differential equations. Zbl 1424.34040Pan, Yuanyuan; Xu, Run 4 2016 Fractional calculus of variations with a generalized fractional derivative. Zbl 1438.49035Askari, Hassan; Ansari, Alireza 4 2016 About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation. Zbl 1424.45009Karimov, E. T.; López, B.; Sadarangani, K. 3 2016 A problem with an integral boundary condition for a time fractional diffusion equation and an inverse problem. Zbl 1424.35359Lopushanska, Halyna 2 2016 Remark to history of fractional derivatives on complex plane: Sonine-Letnikov and Nishimoto derivatives. Zbl 1424.26001Tarasov, Vasily E. 2 2016 Time-fractional diffusion equation with dynamical boundary condition. Zbl 1424.35349Krasnoschok, Mykola 2 2016 Existence of global solutions of impulsive IVPs of singular fractional differential systems on half line. Zbl 1438.34044Liu, Yuji 1 2016 Solvability and positive solutions of a system of higher order fractional boundary value problem with integral conditions. Zbl 1424.34027Jebari, Rochdi 1 2016 Existence of positive solutions for coupled systems of half-linear boundary value problems involving Caputo fractional derivatives. Zbl 1438.34032Gholami, Yousef; Ghanbari, Kazem 1 2016 Chebyshev type inequality on nabla discrete fractional calculus. Zbl 1424.26043Asliyüce, Serkan; Güvenilir, Feza 1 2016 A fractional rate model of learning. Zbl 1438.91101Dassios, George; Fragoyiannis, George; Satrazemi, Konstantia 1 2016 Some discrete fractional Lyapunov-type inequalities. Zbl 1412.34023Ferreira, Rui A. C. 14 2015 Global existence and uniqueness for implicit differential equation of arbitrary order. Zbl 1415.34028Sutar, Sagar T.; Kucche, Kishor D. 11 2015 Existence and uniqueness of solutions for fractional order \(m\)-point boundary value problems. Zbl 1415.34026Shah, Kamal; Zeb, Salman; Khan, Rahmat Ali 10 2015 Nonlocal boundary value problems for hybrid fractional differential equations and inclusions of Hadamard type. Zbl 1412.34006Ahmad, Bashir; Ntouyas, Sotiris K. 7 2015 Opial-type inequalities for fractional integral operator involving Mittag-Leffler function. Zbl 1412.26047Farid, Ghulam; Pečarić, Josip; Tomovski, Zivorad 6 2015 Existence and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations. Zbl 1412.34044Toumi, Faten 4 2015 An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip 3 2015 Existence of mild solutions for impulsive fractional functional integro-differential equations. Zbl 1415.34122Gautam, Ganga Ram; Dabas, Jaydev 3 2015 Positive solutions to iterative systems of fractional order three-point boundary value problems with Riemann-Liouville derivative. Zbl 1415.34024Prasad, K. R.; Krushna, B. M. B. 3 2015 Maximal solutions to fractional differential equations. Zbl 1412.34043Tisdell, Christopher C. 2 2015 Finite difference method for solving the space-time fractional wave equation in the Caputo form. Zbl 1412.35361Afshari, Elham; Sepehrian, Behnam; Nazari, Ali Mohamad 1 2015 Existence and multiplicity results for the boundary value problem of nonlinear fractional differential equations. 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Zbl 1415.34022Ntouyas, Sotiris K. 2 2013 A new class of multivalently analytic functions associated with fractional \(q\)-calculus operators. Zbl 1412.30071Purohit, Sunil Dutt 11 2012 On the stability analysis of weighted average finite difference methods for fractional wave equation. Zbl 1412.35196Sweilam, N. H.; Khader, M. M.; Adel, M. 10 2012 Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086Graef, John R.; Kong, Lingju; Kong, Qingkai 9 2012 A study of impulsive fractional differential inclusions with anti-periodic boundary conditions. Zbl 1412.34073Ahmad, Bashir; Nieto, Juan J. 6 2012 Opial type integral inequalities for fractional derivatives. Zbl 1412.26048Farid, G.; Pečarić, J. 6 2012 Boundary value problems for fractional differential inclusions in Banach spaces. Zbl 1415.34103Benchohra, Mouffak; Henderson, Johnny; Seba, Djamila 6 2012 Opial type integral inequalities for fractional derivatives. II. Zbl 1412.26049Farid, G.; Pečarić, J. 4 2012 Existence of three positive solutions for boundary value problems of singular fractional differential equations. Zbl 1412.92264Liu, Yuji 3 2012 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 715 Authors 15 Farid, Ghulam 15 Saoudi, Kamel 13 Nwaeze, Eze Raymond 10 Shah, Kamal 9 Ahmad, Bashir 7 Abdeljawad, Thabet 7 Băleanu, Dumitru I. 7 Chu, Yuming 7 Ntouyas, Sotiris K. 7 Purohit, Sunil Dutt 7 Tarasov, Vasily E. 6 Al-saedi, Ahmed Eid Salem 6 Ardjouni, Abdelouaheb 6 Jonnalagadda, Jagan Mohan 6 Kolokoltsov, Vassili N. 6 Kratou, Mouna 6 Mahreen, Kahkashan 6 Sooppy Nisar, Kottakkaran 6 Torebek, Berikbol Tillabayuly 5 Ansari, Alireza 5 Biala, Toheeb A. 5 Choudhuri, Debajyoti 5 Goodrich, Christopher S. 5 Kermausuor, Seth 5 Khaliq, Abdul Q. M. 5 Li, Chengkuan 5 Qi, Feng 5 Selvakumaran, Kuppathai A. 5 Zada, Akbar 4 Ali, Amjad 4 Ashurov, Ravshan Rajabovich 4 Dabas, Jaydev 4 Djoudi, Ahcene 4 Khan, Rahmat Ali 4 Kirane, Mokhtar 4 Kostić, Marko 4 Lachouri, Adel 4 Nazeer, Waqas 4 Ngo Van Hoa 4 N’Guérékata, Gaston Mandata 4 Pečarić, Josip 4 Prasad, Kapula Rajendra 4 Rahman, Gauhar 4 Rao, Sabbavarapu Nageswara 4 Seba, Djamila 4 Sweilam, Nasser Hassan 4 Tarasova, Valentina V. 3 Agarwal, Ravi P. 3 Akrout, Kamel 3 Budak, Hüseyin 3 Daoues, Adel 3 Eshaghi, Shiva 3 Fečkan, Michal 3 Ghanmii, Abdeljabbar 3 Gupta, Vidushi 3 Hammami, Amani 3 Hussain, Wajid 3 Jung, Chahn Yong 3 Kang, Shin Min 3 Khan, Muhammad Adil 3 Krushna, Boddu Muralee Bala 3 Kucche, Kishor D. 3 Kumam, Poom 3 Liu, Yuji 3 Luo, Yan 3 Lyons, Benjamin 3 Matar, Mohammed M. 3 Mohammed, Pshtiwan Othman 3 Nieto Roig, Juan Jose 3 Rezapour, Shahram 3 Sandev, Trifce 3 Secer, Aydin 3 Tameru, Ana María 3 Tatar, Nasser-eddine 3 Tomovski, Živorad 3 Ullah, Saleem 3 Vasylyeva, Nataliya V. 2 Abdel-Aty, Abdel-Haleem 2 Abdo, Mohammed Salem 2 Abdullaev, Obidjon Khayrullayevich 2 Agarwal, Praveen 2 Al-Mekhlafi, Seham Mahyoub 2 Alesemi, Meshari 2 Ali, Arshad 2 Alkahtani, Badr Saad T. 2 Almeida, Ricardo 2 Alzabut, Jehad O. 2 Anastassiou, George Angelos 2 Andrić, Maja 2 Arioua, Yacine 2 Bairagi, Nandadulal 2 Başcı, Yasemin 2 Bayram, Mustafa 2 Benchohra, Mouffak 2 Bourguiba, Rim 2 Chammem, Rym 2 Cvetićanin, Stevan M. 2 Dahal, Rajendra 2 Derbazi, Choukri 2 Du, Wei-Shih ...and 615 more Authors all top 5 Cited in 167 Journals 24 Fractional Differential Calculus 23 Advances in Difference Equations 19 Fractional Calculus & Applied Analysis 16 AIMS Mathematics 13 Boundary Value Problems 12 Filomat 12 Journal of Inequalities and Applications 8 Chaos, Solitons and Fractals 8 Computational and Applied Mathematics 7 Computers & Mathematics with Applications 7 Abstract and Applied Analysis 7 Journal of Function Spaces 6 Mathematical Problems in Engineering 6 Differential Equations and Applications 5 Journal of Computational and Applied Mathematics 5 Turkish Journal of Mathematics 5 Fractals 5 Nonlinear Dynamics 5 Journal of Nonlinear Science and Applications 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Mathematical Notes 4 Applied Mathematics and Computation 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Difference Equations and Applications 4 Discrete Dynamics in Nature and Society 4 Communications in Nonlinear Science and Numerical Simulation 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Tbilisi Mathematical Journal 4 Journal of Applied Analysis and Computation 4 Nonautonomous Dynamical Systems 4 International Journal of Applied and Computational Mathematics 3 International Journal of Computer Mathematics 3 The Journal of Analysis 3 Differential Equations and Dynamical Systems 3 Nonlinear Analysis. 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Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Collectanea Mathematica 1 Demonstratio Mathematica 1 Fuzzy Sets and Systems 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society ...and 67 more Journals all top 5 Cited in 39 Fields 215 Ordinary differential equations (34-XX) 177 Real functions (26-XX) 113 Partial differential equations (35-XX) 86 Operator theory (47-XX) 41 Numerical analysis (65-XX) 31 Difference and functional equations (39-XX) 28 Integral equations (45-XX) 26 Special functions (33-XX) 21 Biology and other natural sciences (92-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Systems theory; control (93-XX) 12 Functions of a complex variable (30-XX) 11 Probability theory and stochastic processes (60-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 6 Functional analysis (46-XX) 5 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 4 Combinatorics (05-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Abstract harmonic analysis (43-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year