Open AccessSolving singular coupled fractional differential equations with integral boundary constraints by coupled fixed point methodology
Author(s) -
Hasanen A. Hammad,
Watcharaporn Chaolamjiak
Publication year - 2021
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.2021774
Subject(s) - mathematics , uniqueness , fixed point theorem , fixed point , boundary value problem , mathematical analysis , order (exchange) , differential equation , economics , finance
This manuscript was originally built to establish some coupled common fixed point results for rational contractive mapping in the framework of $ b $-metric spaces. Thereafter, the existence and uniqueness of the boundary value problem for a singular coupled fractional differential equation of order $ \nu $ via coupled fixed point techniques are discussed. At the last, some supportive examples to illustrate the theoretical results are presented.