Existence results for some fractional stochastic integro-differential equations via measures of non-compactness

Authors

  • Alireza Yaghoobnia Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
  • Manochehr Kazemi Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
  • Vishnu Narayan Mishra Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, M.P. India

DOI:

https://doi.org/10.30495/jme.v18i0.3039

Keywords:

Existence of solution, Measures of noncompactness, Stochastic Integral equations, Fractional calculus, Petryshyn's fixed point theorem

Abstract

Using fixed point theorems is one method used to prove the existence of solutions in many types of integral equations. This study focuses on applying a generalization of Petryshyn's fixed point theorem to solve a general form of fractional stochastic integro-differential equations in the Banach algebra C(Ia). Besides stating and proving the relevant theorem, the reasons for the superiority of the new method compared some similar methods, were explained. In addition, to confirm the efficiency and check the validity of results, a part of the paper dedicated to solving some stochastic integral equations.

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Published

2024-10-28

Issue

Vol. 18

Section

Vol. 18, No. 5, (2024)

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