Monotone solutions of iterative fractional equations found by modified Darbo-type fixed-point theorems

DOI10.1007/s11784-017-0470-9zbMath1376.34011OpenAlexW2754357082MaRDI QIDQ1684923

Rabha W. Ibrahim, Hemant Kumar Nashine

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0470-9

zbMATH Keywords

fractional calculusmeasure of non-compactnesscoupled fixed point theoremfractional differential operatoriterative fractional equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fractional ordinary differential equations (34A08)

Related Items (5)

Solvability of functional-integral equations (fractional order) using measure of noncompactness ⋮ Existence of local fractional integral equation via a measure of non-compactness with monotone property on Banach spaces ⋮ Existence and uniqueness results for a fractional differential equations with nonlocal boundary conditions ⋮ Generalization of Darbo-Type Fixed Point Theorem and Applications to Integral Equations ⋮ Local Fractional Calculus to Design the Growth System of Covid-19 Using Measure of Non-compactness

Cites Work

• The existence of fixed points via the measure of noncompactness and its application to functional-integral equations
• Existence of iterative Cauchy fractional differential equation
• Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces
• Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
• Existence and uniqueness for a class of iterative fractional differential equations
• Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator
• The functional differential equation \(x'(t)=x(x(t))\)
• Some generalizations of Darbo fixed point theorem and applications
• Fixed points of condensing functions
• Solvability of infinite systems of second order differential equations in 𝑐₀ and ℓ₁ by Meir-Keeler condensing operators
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
• Krasnoselskii's inversion principle and fixed points
• Some generalizations of Darbo fixed point theorem and its application
• SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS
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