Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations via the method of upper and lower solutions

DOI10.22436/jnsa.010.11.12zbMath1412.49038OpenAlexW2769031840MaRDI QIDQ5743292

Hua Kong, Yunru Bai

Publication date: 9 May 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.11.12

zbMATH Keywords

monotone sequencesupper and lower solutionsfractional differential equationsArzela-Ascoli theoremCaputo-Hadamard derivative

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (7)

Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique ⋮ Multiterm boundary value problem of Caputo fractional differential equations of variable order ⋮ On Caputo-Hadamard Type Fractional Differential Equations with Nonlocal Discrete Boundary Conditions ⋮ Analysis of neutral fractional differential equation via the method of upper and lower solution ⋮ On Katugampola fractional order derivatives and Darboux problem for differential equations ⋮ Existence and stability of a Caputo variable-order boundary value problem ⋮ On Ulam-Hyers-Rassias stability of the boundary value problem of Hadamard fractional differential equations of variable order

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