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Existence of Mild Solution of the Hilfer Fractional Differential Equations with Infinite Delay on an Infinite Interval.
- Source :
-
Fractal & Fractional . Oct2023, Vol. 7 Issue 10, p724. 12p. - Publication Year :
- 2023
-
Abstract
- In this study, we present a mild solution to the Hilfer fractional differential equations with infinite delay. Firstly, we establish the results on an infinite interval; to achieve this, we use the generalized Ascoli–Arzelà theorem and Mönch's fixed point theorem via a measure of noncompactness. Secondly, we consider the existence of a mild solution when the semigroup is compact, and the Schauder fixed-point theorem is used. The outcome is demonstrated using an infinitesimal operator, fractional calculus, semigroup theory, and abstract space. Finally, we present an example to support the results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 7
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 173263354
- Full Text :
- https://doi.org/10.3390/fractalfract7100724