Implicit fractional differential equation with anti-periodic boundary condition involving Caputo-Katugampola type

DOI10.3934/math.2020240zbMath1484.34075OpenAlexW3017367829MaRDI QIDQ2129995

Saleh S. Redhwan, Sadikali L. Shaikh, Mohammed S. Abdo

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020240

zbMATH Keywords

fixed point theoremsfractional differential equationsUlam-Hyers stabilityfractional Gronwall inequalityKatugampola fractional operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (12)

New generalized conformable fractional impulsive delay differential equations with some illustrative examples ⋮ Generalized conformable operators: application to the design of nonlinear observers ⋮ A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type ⋮ A qualitative study on generalized Caputo fractional integro-differential equations ⋮ Stability of solutions for generalized fractional differential problems by applying significant inequality estimates ⋮ Generalized proportional fractional integral inequalities for convex functions ⋮ Generalized fractional differential systems with Stieltjes boundary conditions ⋮ Qualitative behaviour of a Caputo fractional differential system ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Investigating a class of pantograph differential equations under multi-points boundary conditions with fractional order

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