Title
Coupled Systems of Sequential Caputo and Hadamard Fractional Differential Equations with Coupled Separated Boundary Conditions.
Abstract
This paper studies the existence and uniqueness of solutions for a new coupled system of nonlinear sequential Caputo and Hadamard fractional differential equations with coupled separated boundary conditions, which include as special cases the well-known symmetric boundary conditions. Banach's contraction principle, Leray-Schauder's alternative, and Krasnoselskii's fixed-point theorem were used to derive the desired results, which are well-illustrated with examples.
Year
DOI
Venue
2018
10.3390/sym10120701
SYMMETRY-BASEL
Keywords
Field
DocType
Caputo fractional derivative,Hadamard fractional derivative,coupled system,separated boundary conditions,existence
Differential equation,Boundary value problem,Mathematical analysis,Hadamard transform,Mathematics
Journal
Volume
Issue
ISSN
10
12.0
2073-8994
Citations 
PageRank 
References 
0
0.34
0
Authors
4