Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space

DOI10.1186/s13662-021-03617-0zbMath1494.34026OpenAlexW3207279243WikidataQ115241166 ScholiaQ115241166MaRDI QIDQ2167235

Khosrow Maleknejad, Tahereh Eftekhari, Jalil Rashidinia

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03617-0

zbMATH Keywords

error boundsfixed point theoremoperational matricesdistributed-order fractional derivativesecond kind Chebyshev waveletsshifted fractional-order Jacobi polynomials

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

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