Open AccessExistence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions
Author(s) -
Ahcene Boukehila
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-4271
Subject(s) - mathematics , uniqueness , fractional calculus , fixed point theorem , contraction principle , nonlinear system , boundary value problem , mathematical analysis , contraction mapping , picard–lindelöf theorem , schauder fixed point theorem , derivative (finance) , physics , quantum mechanics , financial economics , economics
In this work we investigate the existence and uniqueness of solutions of boundary value problems for fractional differential equations involving the Caputo fractional derivative with integral conditions and the nonlinear term depends on the fractional derivative of an unknown function. Our existence results are based on Banach contraction principle and Schauder fixed point theorem. Two examples are provided to illustrate our results.