Journal
MATHEMATICS
Volume 10, Issue 22, Pages -Publisher
MDPI
DOI: 10.3390/math10224392
Keywords
Hilfer fractional evolution system; measure of noncompactness; nonlocal condition; fixed-point theorem; almost sectorial operators
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Funding
- Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
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In this article, the existence of Hilfer fractional (HF) stochastic differential systems with nonlocal conditions and delay is examined using almost sectorial operators. The major methods used are the semigroup of operators method, the Monch fixed-point technique via the measure of noncompactness, and the fundamental theory of fractional calculus. Finally, an application is provided to clarify the key points.
In this article, we examine the existence of Hilfer fractional (HF) stochastic differential systems with nonlocal conditions and delay via almost sectorial operators. The major methods depend on the semigroup of operators method and the Monch fixed-point technique via the measure of noncompactness, and the fundamental theory of fractional calculus. Finally, to clarify our key points, we provide an application.
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