TY - JOUR
T1 - Existence of Solutions for Fractional Differential Equations Involving Two Riemann-Liouville Fractional Orders
AU - Mohamed Houas
JO - Analysis in Theory and Applications
VL - 3
SP - 253
EP - 274
PY - 2018
DA - 2018/11
SN - 34
DO - http://doi.org/10.4208/ata.OA-2017-0021
UR - https://global-sci.org/intro/article_detail/ata/12840.html
KW - Riemann-Liouville integral, existence, fixed point theorem, Leray-Schauder alternative.
AB - <p style="text-align: justify;">In this work, we study existence and uniqueness of solutions for multi-point
boundary value problem of nonlinear fractional differential equations with two fractional
derivatives. By using the variety of fixed point theorems, such as Banach’s fixed
point theorem, Leray-Schauder’s nonlinear alternative and Leray-Schauder’s degree
theory, the existence of solutions is obtained. At the end, some illustrative examples
are discussed.</p>