Open AccessPeriodic Solution of Caputo-Fabrizio Fractional Integro–differential Equation with Periodic and Integral Boundary Conditions
Author(s) -
Ava Shafeeq Rafeeq
Publication year - 2022
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v15i1.4247
Subject(s) - mathematics , uniqueness , mathematical analysis , fixed point theorem , fractional calculus , boundary value problem , integro differential equation , differential equation , type (biology) , banach space , first order partial differential equation , ecology , biology
In this paper, we study a new approach of investigation of existence, uniqueness and stability of the periodic solution of the nonlinear fractional integro-differential equation of type Caputo-Fabrizio fractional derivative with the initial condition, periodic boundary conditions, and integral boundary conditions by using successive approximations method and Banach fixed point theorem. Finally, some examples are present to illustrate the theorems.