Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

In the present work, a numerical technique for solving a general form of nonlinear fractional order integro-differential equations (GNFIDEs) with linear functional arguments using Chebyshev series is presented. The recommended equation with its linear functional argument produces a general form of d...

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Vydané v:	Advances in difference equations Ročník 2020; číslo 1; s. 1 - 23
Hlavní autori:	Ali, Khalid K., Abd El Salam, Mohamed A., Mohamed, Emad M. H., Samet, Bessem, Kumar, Sunil, Osman, M. S.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 15.09.2020 Springer Nature B.V SpringerOpen
Predmet:	Analysis Applications Caputo fractional derivatives Chebyshev approximation Chebyshev collocation method Collocation methods Derivatives Difference and Functional Equations Differential equations Functional Analysis Functional argument Mathematics Mathematics and Statistics Methods Nonlinear equations Nonlinear fractional integro-differential equations Nonlinear systems Ordinary Differential Equations Partial Differential Equations Topics in Special Functions and q-Special Functions: Theory Functional argument Nonlinear fractional integro-differential equations Chebyshev collocation method Caputo fractional derivatives
ISSN:	1687-1847, 1687-1839, 1687-1847
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