Vol. 6 No. 1 (2022): Special Issue in Honor of Professor Ravi P. Agarwal
Articles

Topological structure of solution sets for hybrid impulsive fractional differential inclusion in banach algebra

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  • Hedia Benaouda
Hedia Benaouda
Laboratory of Computers sciences and Mathematics, University of Tiaret PO BOX 78 14000 Tiaret, Algeria.
DOI: https://doi.org/10.26524/cm138
Published March 31, 2022
Keywords
  • Dhage fixed point theorem, differential inclusions, fractional integral, Impulsive, Riemann-Liouville fractional derivative, weight space, compactness.
How to Cite
Hedia Benaouda. (2022). Topological structure of solution sets for hybrid impulsive fractional differential inclusion in banach algebra. Journal of Computational Mathematica, 6(1), 348 - 371. https://doi.org/10.26524/cm138

Abstract

The aim of this paper is to study the topological structure of solution sets of hybrid impulsive fractional differential inclusions on the weighted space of piecewise continuous functions, we apply dhage fixed point theorem for multivalued operator with analysis tools to prove existence result. The paper concludes with an example to illustrate the feasibility of our main result.

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