Results 21 to 30 of about 261,053 (323)
Fractal and Fractional, 2022 In this work, the fractional novel analytic method (FNAM) is successfully implemented on some well-known, strongly nonlinear fractional partial differential equations (NFPDEs), and the results show the approach’s efficiency.
M. Sultana +5 more
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Frontiers of Physics, 2021 In this paper, we introduce a series solution to a class of hyperbolic system of time-fractional partial differential equations with variable coefficients. The fractional derivative has been considered by the concept of Caputo.
Ahmad El-Ajou, Z. Al-Zhour
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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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Fractal and Fractional, 2022 In this article, a new method for obtaining closed-form solutions of the simplified modified Camassa-Holm (MCH) equation, a nonlinear fractional partial differential equation, is suggested.
M. Shakeel, Nehad Ali Shah, J. Chung
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Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]
, 2019 In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
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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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Application of the Aboodh Transform for Solving Fractional Delay Differential Equations
Universal Journal of Mathematics and Applications, 2020 In this article, we extend the concept of the Aboodh transform to the solution of partial differential equations of fractional order using Caputo's fractional derivative.
Kacem Belghaba +1 more
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Coupled systems of fractional equations related to sound propagation: analysis and discussion [PDF]
, 2012 In this note we analyse the propagation of a small density perturbation in a one-dimensional compressible fluid by means of fractional calculus modelling, replacing thus the ordinary time derivative with the Caputo fractional derivative in the ...
Diethelm K. +6 more
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Abstract and Applied Analysis, 2022 In this paper, we combine the Elzaki transform method (ETM) with the new homotopy perturbation method (NHPM) for the first time. This hybrid approach can solve initial value problems numerically and analytically, such as nonlinear fractional differential
Mohamed Z. Mohamed +2 more
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Homotopy Analysis Method for Three Types of Fractional Partial Differential Equations
Complexity, 2020 In this paper, three types of fractional order partial differential equations, including the fractional Cauchy–Riemann equation, fractional acoustic wave equation, and two-dimensional space partial differential equation with time-fractional-order, are ...
Haidong Qu, Zihang She, Xuan Liu
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