Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.05.017
Abstract: Abstract We give an effective method for solving fractional Riccati differential equations. We first define the fractional-order Boubaker wavelets (FOBW). Using the hypergeometric functions, we determine the exact values for the Riemann-Liouville fractional integral operator… read more here.
Keywords: riccati differential; fractional riccati; differential equations; solving fractional ... See more keywords
High performance adaptive step size fractional numerical scheme for solving fractional differential equations
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DOI: 10.1038/s41598-025-95613-7
Abstract: Fractional differential equations have recently gained popularity due to their ability to simulate a wide range of complex processes in various fields, including engineering, physics, biology, and finance. These equations provide a powerful framework for… read more here.
Keywords: differential equations; fractional differential; adaptive step; high performance ... See more keywords
New method for solving fractional differential equations: HK transform
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DOI: 10.1088/1402-4896/adc8e5
Abstract: In this study, a transformation solution of high-order linear fractional differential equations is provided using Riemann-Liouville and Caputo fractional derivatives. To achieve this objective, HK transformed fundamental mathematical functions before outlining its salient characteristics were… read more here.
Keywords: differential equations; fractional differential; solving fractional; method solving ... See more keywords
ψ-Haar wavelets method for numerically solving fractional differential equations
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DOI: 10.1108/ec-01-2020-0050
Abstract: Purpose The purpose of this paper is to obtain a numerical scheme for finding numerical solutions of linear and nonlinear fractional differential equations involving ψ-Caputo derivative. Design/methodology/approach An operational matrix to find numerical approximation of… read more here.
Keywords: method numerically; wavelets method; solving fractional; haar wavelets ... See more keywords
Numerical Multistep Approach for Solving Fractional Partial Differential Equations
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Computational Methods"
DOI: 10.1142/s0219876217500293
Abstract: In this paper, we proposed a novel analytical technique for one-dimensional fractional heat equations with time fractional derivatives subjected to the appropriate initial condition. This new analytical technique, namely multistep reduced differential transformation method (MRDTM),… read more here.
Keywords: approach solving; multistep; multistep approach; solving fractional ... See more keywords
Some numerical methods for solving fractional partial difference equations in the discrete domain
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Interdisciplinary Mathematics"
DOI: 10.47974/jim-1763
Abstract: This paper proposes a method for solving fractional partial difference equations using discrete Sumudu transformation. Some properties of discrete Sumudu transformation were used. The applications of the test examples for the initial value problems of… read more here.
Keywords: numerical methods; difference equations; partial difference; fractional partial ... See more keywords