Open AccessInvolvement of the fixed point technique for solving a fractional differential system
Author(s) -
Hasanen A. Hammad,
AUTHOR_ID,
M. De La Sen,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022395
Subject(s) - mathematics , contraction principle , uniqueness , fixed point theorem , fractional calculus , mathematical analysis , order (exchange) , integer (computer science) , differential equation , contraction mapping , boundary value problem , banach fixed point theorem , pure mathematics , computer science , finance , economics , programming language
Some physical phenomena were described through fractional differential equations and compared with integer-order differential equations which have better results, which is why researchers of different areas have paid great attention to study this direction. So, in this manuscript, we discuss the existence and uniqueness of solutions to a system of fractional deferential equations (FDEs) under Riemann-Liouville (R-L) integral boundary conditions. The solution method is obtained by two basic rules, the first rule is the Leray-Schauder alternative and the second is the Banach contraction principle. Finally, the theoretical results are supported by an illustrative example.