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AIMS Mathematics
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AIMS Mathematics
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Solving singular coupled fractional differential equations with integral boundary constraints by coupled fixed point methodology

حل المعادلات التفاضلية الجزئية المقترنة المفردة مع قيود الحدود المتكاملة من خلال منهجية النقطة الثابتة المقترنة
Authors: Hasanen A. Hammad; Watcharaporn Chaolamjiak;

Solving singular coupled fractional differential equations with integral boundary constraints by coupled fixed point methodology

Abstract

<abstract><p>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.</p></abstract>

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Keywords

Topological representations of algebraic systems, Nonlinear boundary value problems for ordinary differential equations, Economics, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Differential equation, QA1-939, FOS: Mathematics, coupled fractional differential equations, Green's functions, Fixed-point theorem, Boundary value problem, Order (exchange), Fixed-point and coincidence theorems (topological aspects), Fixed Point Theorems, b-metric spaces, coupled fixed point techniques, Fixed point, Applied mathematics, rational contractive mappings, green's functions, Physical Sciences, Geometry and Topology, Uniqueness, \(b\)-metric spaces, Mathematics, Finance

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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