A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets
Sign Up to like & getrecommendations! Published in 2021 at "Numerical Algorithms"
DOI: 10.1007/s11075-021-01088-8
Abstract: The main aim of this research study is to present a new and efficient numerical method based on the second kind Chebyshev wavelets for solving the general form of distributed order fractional differential equations in… read more here.
Keywords: second kind; chebyshev wavelets; operational vector; based second ... See more keywords
An efficient method based on the second kind Chebyshev wavelets for solving variable-order fractional convection diffusion equations
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DOI: 10.1080/00207160.2017.1346243
Abstract: ABSTRACT In this paper, a class of variable-order fractional convection diffusion equations have been solved with assistance of the second kind Chebyshev wavelets operational matrix. The operational matrix of variable-order fractional derivative is derived for… read more here.
Keywords: second kind; variable order; chebyshev wavelets; kind chebyshev ... See more keywords
Sixth-Kind Chebyshev Spectral Approach for Solving Fractional Differential Equations
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DOI: 10.1515/ijnsns-2018-0118
Abstract: Abstract The basic aim of this paper is to develop new numerical algorithms for solving some linear and nonlinear fractional-order differential equations. We have developed a new type of Chebyshev polynomials, namely, Chebyshev polynomials of… read more here.
Keywords: chebyshev polynomials; differential equations; proposed algorithms; kind chebyshev ... See more keywords
Solution Method for Systems of Nonlinear Fractional Differential Equations Using Third Kind Chebyshev Wavelets
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DOI: 10.3390/axioms12060546
Abstract: Chebyshev Wavelets of the third kind are proposed in this study to solve nonlinear systems of FDEs. The main goal of the method is to convert the nonlinear FDE into a nonlinear system of algebraic… read more here.
Keywords: system algebraic; kind chebyshev; chebyshev wavelets; using third ... See more keywords
Coefficient Estimates of Bi-Starlike and Bi-Convex Functions with Respect to Symmetrical Points Associated with the Second Kind Chebyshev Polynomials
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DOI: 10.34198/ejms.3220.191198
Abstract: In this paper, by making use the second kind Chebyshev polynomials, we introduce and study a certain class of bi-starlike and bi-convex functions with respect to symmetrical points defined in the open unit disk. We… read more here.
Keywords: second kind; convex functions; chebyshev polynomials; starlike convex ... See more keywords