Results 41 to 50 of about 1,126,367 (350)
Effects of the ARA transform method for time fractional problems [PDF]
Mathematica Moravica, 2022 The aim of this study is to establish the solutions of time fractional mathematical problems with the aid of new integral transforms called the ARA transform. The fractional derivative is taken in the sense of Liouville-Caputo derivative.
Çetınkaya Süleyman, Demir Ali
doaj +1 more source
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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Applied Mathematics and Nonlinear Sciences, 2020 In this paper, our aim is to generalize the truncated M-fractional derivative which was recently introduced [Sousa and de Oliveira, A new truncated M-fractional derivative type unifying some fractional derivative types with classical properties, Inter ...
Esin İlhana +2 more
semanticscholar +1 more source
Wavelets operational methods for fractional differential equations and systems of fractional differential equations [PDF]
, 2017 In this thesis, new and effective operational methods based on polynomials and wavelets for the solutions of FDEs and systems of FDEs are developed.
A. H. Al-Bagawi, A. H. Al-Bagawi +8 more
core +2 more sources
Partial Differential Equations in Applied Mathematics, 2023 Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
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Solution of System of Linear Fractional Differential Equations with Modified derivative of Jumarie Type [PDF]
American Journal of Mathematical Analysis, 2015, 2015 Solution of fractional differential equations is an emerging area of present day research because such equations arise in various applied fields. In this paper we have developed analytical method to solve the system of fractional differential equations in-terms of Mittag-Leffler function and generalized Sine and Cosine functions, where the fractional ...
arxiv +1 more source
Journal of Applied Mathematics, 2014 Based on Jumarie’s modified Riemann-Liouville derivative, the fractional complex transformation is used to transform fractional differential equations to ordinary differential equations.
Wei Li, Huizhang Yang, Bin He
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Linear differential equations with variable coefficients and Mittag-Leffler kernels
Alexandria Engineering Journal, 2022 Fractional differential equations with constant coefficients can be readily handled by a number of methods, but those with variable coefficients are much more challenging.
Arran Fernandez +2 more
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Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of Mittag-Leffler Function [PDF]
American Journal of Mathematical Analysis, 2015, Vol. 3, No. 2,
32-38, 2015 There is no unified method to solve the fractional differential equation. The type of derivative here used in this paper is of Jumarie formulation, for the several differential equations studied. Here we develop an algorithm to solve the linear fractional differential equation composed via Jumarie fractional derivative in terms of Mittag-Leffler ...
arxiv +1 more source
On a New Class of Fractional Calculus of Variations and Related Fractional Differential Equations [PDF]
arXiv, 2021 This paper is concerned with analyzing a class of fractional calculus of variations problems and their associated Euler-Lagrange (fractional differential) equations. Unlike the existing fractional calculus of variations which is based on the classical notion of fractional derivatives, the fractional calculus of variations considered in this paper is ...
arxiv