Title of article
EXISTENCE AND UNIQUENESS SOLUTION OF THE HAMMERSTEIN TYPE FRACTIONAL EQUATIONS VIA THE FIXED POINT THEOREMS
Author/Authors
Dadsetadi ، Somayyeh Department of Mathematics - Faculty of Mathematics, Statistics and Computer Sciences - Semnan University , Torkzadeh ، Leila Department of Mathematics - Faculty of Mathematics, Statistics and Computer Sciences - Semnan University , Nouri ، Kazem Department of Mathematics - Faculty of Mathematics, Statistics and Computer Sciences - Semnan University
From page
109
To page
115
Abstract
The aim of this paper is to investigate the existence and uniqueness of solution for 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
Fractional Hammerstein integro , differential equations , Existence and uniqueness , Schauder’s fixed point theorem , Banach fixed point theorem
Journal title
Mathematical Analysis and Convex Optimization
Journal title
Mathematical Analysis and Convex Optimization
Record number
2735598
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