Results 21 to 30 of about 537,797 (362)
Fractional Differential Equations and Expansions in Fractional Powers
Symmetry, 2023 We use power series with rational exponents to find exact solutions to initial value problems for fractional differential equations. Certain problems that have been previously studied in the literature can be solved in a closed form, and approximate solutions are derived by constructing recursions for the relevant expansion coefficients.
Diego Caratelli +2 more
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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 and Time-Scales Differential Equations [PDF]
Abstract and Applied Analysis, 2014 Resumo indisponível.
Baleanu, Dumitru +3 more
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AIMS Mathematics, 2022 Based on the variable separation method, the Kadomtsev-Petviashvili equation is transformed into a system of equations, in which one is a fractional ordinary differential equation with respect to time variable t, and the other is an integer order ...
Cheng Chen
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Analysis of Fractional Differential Equations
Journal of Mathematical Analysis and Applications, 2002 AbstractWe discuss existence, uniqueness, and structural stability of solutions of nonlinear differential equations of fractional order. The differential operators are taken in the Riemann–Liouville sense and the initial conditions are specified according to Caputo's suggestion, thus allowing for interpretation in a physically meaningful way.
Diethelm, Kai, Ford, Neville J.
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Abstract and Applied Analysis, 2010 The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
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Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations
Advances in Mathematical Physics, 2021 By using scalar similarity transformation, nonlinear model of time-fractional diffusion/Harry Dym equation is transformed to corresponding ordinary fractional differential equations, from which a travelling-wave similarity solution of time-fractional ...
Chao Yue +3 more
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Symmetry, 2019 The present paper aims to define three new notions: Θ e -contraction, a Hardy–Rogers-type Θ -contraction, and an interpolative Θ -contraction in the framework of extended b-metric space.
T. Abdeljawad +3 more
semanticscholar +1 more source
On the Ulam‐Hyers stabilities of the solutions of Ψ‐Hilfer fractional differential equation with abstract Volterra operator [PDF]
Mathematical methods in the applied sciences, 2018 In this paper, we consider the new class of the fractional differential equation involving the abstract Volterra operator in the Banach space and investigate existence, uniqueness and stabilities of Ulam‐Hyers on the compact interval Δ = [a,b] and on the
J. Sousa +2 more
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Advances in Mathematical Physics, 2019 The motivation of this study is to construct the truncated solution of space-time fractional differential equations by the homotopy analysis method (HAM).
Ali Demir +2 more
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