Solvability for an infinite system of fractional order boundary value problems

DOI10.1215/20088752-2018-0038zbMath1421.34008OpenAlexW2954802546WikidataQ127573878 ScholiaQ127573878MaRDI QIDQ2316664

Yujun Cui, Hua Zhou, Fuli Wang

Publication date: 6 August 2019

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1565078424

zbMATH Keywords

measure of noncompactnessinfinite system of differential equationsfractional order boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Banach sequence spaces (46B45) Fractional ordinary differential equations (34A08) Ordinary lattice differential equations (34A33)

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On implicit impulsive Langevin equation involving mixed order derivatives ⋮ Analysis of coupled system of implicit fractional differential equations involving Katugampola-Caputo fractional derivative ⋮ Positive solutions for an infinite system of fractional order boundary value problems ⋮ Solvability of an infinite system of fractional differential equations with \(p\)-Laplacian operator in a new tempered sequence space ⋮ Existence of solutions to nonlinear Katugampola fractional differential equations with mixed fractional boundary conditions ⋮ Positive solutions for a system of \(2n\)th-order boundary value problems involving semipositone nonlinearities

Cites Work

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• Asymptotic behavior of a metapopulation model
• Solvability for a class of fractional \(m\)-point boundary value problem at resonance
• Uniqueness of solution for boundary value problems for fractional differential equations
• Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• Bounded controls in distributed-parameter systems
• An existence theorem for a class of infinite systems of integral equations
• The optimal pursuit problem reduced to an infinite system of differential equations
• An application of convolution expansions to an infinite system of differential equations
• On solutions of an infinite system of singular integral equations
• Punti uniti in trasformazioni a codominio non compatto
• Solvability of infinite systems of second order differential equations in 𝑐₀ and ℓ₁ by Meir-Keeler condensing operators
• Asymptotic behaviour of solutions to the Becker-Döring equations
• Deterministic approximation of a stochastic metapopulation model
• Solvability of infinite systems of differential equations in Banach sequence spaces