4.6 Article

New exploration of operators of fractional neutral integro-differential equations in Banach spaces through the application of the topological degree concept

Journal

AIMS MATHEMATICS
Volume 7, Issue 9, Pages 15741-15758

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022862

Keywords

fractional calculus; Caputo-Hadamard fractional derivative; integro-differential equation; neutral equation; topological degree method

Funding

  1. Deputyship for Research & Innovation 'within the' Ministry of Education in Saudi Arabia [IF-PSAU-2021/01/18769]

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In this paper, the behavior of the neutral integro-differential equations of fractional order including the Caputo-Hadamard fractional derivative is analyzed using the topological degree method. The suggested fixed point technique is validated by specific numerical examples, demonstrating its wide applicability and high efficiency.
In this paper, we analyze the behavior of the neutral integro-differential equations of fractional order including the Caputo-Hadamard fractional derivative. The results and solutions are obtained using the topological degree method. Furthermore, some specific numerical examples are given to ascertain the wide applicability and high efficiency of the suggested fixed point technique.

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