EXISTENCE AND UNIQUENESS SOLUTION OF THE HAMMERSTEIN TYPE FRACTIONAL EQUATIONS VIA THE FIXED POINT THEOREMS

Document Type : Original Article

Authors
Somayyeh Dadsetadi
Leila Torkzadeh
Kazem Nouri
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, P. O. Box 35195-363, Semnan, Iran.
10.22034/maco.3.1.12
Abstract
 The aim of this paper is to investigate the existence and uniqueness of solutionfor a class of nonlinear integro-differential equations known as Hammerstein type. We study fractional equations in the Banach space whose derivative is of the Caputo type. The existence of solution is studied by using the Schauder’s fixed point theorem, and the uniqueness is established via a generalization of the Banach fixed point theorem. Finally, an example is given to illustrate the analytical findings.

Keywords

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Mathematical Analysis and Convex Optimization
Volume 3, Issue 1
June 2022
Pages 109-115