Results 41 to 50 of about 692,681 (370)
Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations [PDF]
Mathematical methods in the applied sciences, 2020 In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit fractional differential equations involving Ψ‐Hilfer fractional derivative subject to nonlocal fractional integral boundary conditions.
Ashwini D. Mali, Kishor D. Kucche
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Entropy, 2018 In this paper, we investigate analytical solutions of multi-time scale fractional stochastic differential equations driven by fractional Brownian motions.
Xiao-Li Ding, Juan J. Nieto
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Fractional Poisson Fields and Martingales [PDF]
, 2017 We present new properties for the Fractional Poisson process and the Fractional Poisson field on the plane. A martingale characterization for Fractional Poisson processes is given.
Aletti, Giacomo +2 more
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Advances in Difference Equations, 2017 We propose a new method called the fractional reduced differential transform method (FRDTM) to solve nonlinear fractional partial differential equations such as the space-time fractional Burgers equations and the time-fractional Cahn-Allen equation.
Mahmoud S Rawashdeh
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Complexity, 2021 This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad +2 more
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Fractional Differential Equations 2012 [PDF]
International Journal of Differential Equations, 2013 Journal of Differential Equations dédié aux équations différentielles fractionnaires (FDE). Ces dernières années, un nombre croissant d'articles rédigés par de nombreux auteurs de divers domaines de la science et de l'ingénierie traitent de systèmes dynamiques décrits par des équations aux dérivées partielles fractionnaires.
Fawang Liu +4 more
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Discrete Dynamics in Nature and Society, 2018 This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations ...
Bochao Chen, Li Qin, Fei Xu, Jian Zu
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Advances in Difference Equations, 2021 In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem +3 more
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Weak Solutions for Time-Fractional Evolution Equations in Hilbert Spaces
Fractal and Fractional, 2021 Our purpose is to introduce a notion of weak solution for a class of abstract fractional differential equations. We point out that the time fractional derivative occurring in the equations is in the sense of the Caputo derivative.
Paola Loreti, Daniela Sforza
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Applied Mathematics in Science and Engineering, 2023 This study presents an efficient method that is suitable for differential equations, both with integer-order and fractional derivatives. This study examines the construction of solutions of fractional differential equations that are associated with ...
M.O. Aibinu, E. Momoniat
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