Existence of Hilfer Fractional Stochastic Differential Equations with Nonlocal Conditions and Delay via Almost Sectorial Operators

Sivajiganesan Sivasankar, Ramalingam Udhayakumar (), Velmurugan Subramanian, Ghada AlNemer () and Ahmed M. Elshenhab
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Sivajiganesan Sivasankar: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India
Ramalingam Udhayakumar: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India
Velmurugan Subramanian: Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed to be University, Thanjavur 613401, India
Ghada AlNemer: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Ahmed M. Elshenhab: School of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Mathematics, 2022, vol. 10, issue 22, 1-18

Abstract: 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 M o ¨ n c h 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.

Keywords: Hilfer fractional evolution system; measure of noncompactness; nonlocal condition; fixed-point theorem; almost sectorial operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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