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
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
