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
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