On some generalized non-linear functional integral equations of two variables via measures of noncompactness and numerical method to solve it

Rabbani, Mohsen; Deep, Amar; Deepmala, _

doi:10.1007/s40096-020-00367-0

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2022

2024

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Cited by 16 publications

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“…The question of existence result of integral equations has been investigated in several papers by Darbo's fixed point theorem and Petryshyn's fixed point theorem in many function spaces (cf. [17][18][19]). But most of the works deal with the numerical analysis of functional integral equations without discussing the existence result of the solution inside its area of definition (cf.…”

Section: Introductionmentioning

confidence: 99%

An existence result with numerical solution of nonlinear fractional integral equations

Kazemi

Deep

Nieto

2023

Math Methods in App Sciences

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By utilizing the technique of Petryshyn's fixed point theorem in Banach algebra, we examine the existence of solutions for fractional integral equations, which include as special cases of many fractional integral equations that arise in various branches of mathematical analysis and their applications. Also, the numerical iterative method is employed successfully to find the solutions to fractional integral equations. Lastly, we recall some different cases and examples to verify the applicability of our study.

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Section: Introductionmentioning

confidence: 99%