Results 21 to 30 of about 1,126,367 (350)
The need for the fractional operators
Journal of the Egyptian Mathematical Society, 2021 In this review paper, I focus on presenting the reasons of extending the partial differential equations to space-time fractional differential equations. I believe that extending any partial differential equations or any system of equations to fractional ...
E. A. Abdel-Rehim
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Generalized fractional differential equations for past dynamic
AIMS Mathematics, 2022 Well-posedness of the terminal value problem for nonlinear systems of generalized fractional differential equations is studied. The generalized fractional operator is formulated with a classical operator and a related weighted space.
D. Baleanu, B. Shiri
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Approximate solutions of linear time-fractional differential equations
Journal of Mathematics and Computer Science, 2022 In this research work, the numerical scheme for obtaining the linear time-fractional differential equations was considered and the nature of these time-fractional differential equations are in sense of Caputo.
R. Oderinu, J. Owolabi, M. Taiwo
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Symmetry, 2021 This paper deals with a new class of hybrid fractional differential equations with fractional proportional derivatives of a function with respect to a certain continuously differentiable and increasing function ϑ. By means of a hybrid fixed point theorem
M. Abbas, M. Ragusa
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Mathematical methods in the applied sciences, 2021 An important class of fractional differential and integral operators is given by the theory of fractional calculus with respect to functions, sometimes called Ψ‐fractional calculus.
Hafiz Muhammad Fahad +2 more
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Large Fractional Linear Type Differential Equations
International Journal of Analysis and Applications, 2023 This paper aims to handle some types of fractional differential equations with a fractional-order values β>1. In particular, we propose a novel analytical solution called an atomic solution for certain fractional linear type differential equations as ...
Ma'mon Abu Hammad +2 more
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Linearized Asymptotic Stability for Fractional Differential Equations [PDF]
, 2016 We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differential equation is asymptotically stable if its linearization at the ...
Cong, N. D. +3 more
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Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order
Symmetry, 2021 A boundary value problem for Hadamard fractional differential equations of variable order is studied. Note the symmetry of a transformation of a system of differential equations is connected with the locally solvability which is the same as the existence
S. Hristova +3 more
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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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Comparison principles for fractional differential equations with the Caputo derivatives
Advances in Difference Equations, 2018 In this paper, we deal with comparison principles for fractional differential equations involving the Caputo derivatives of order p with 0≤n ...
Ziqiang Lu, Yuanguo Zhu
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