Existence, uniqueness and Hyers-Ulam stability of a fractional order iterative two-point boundary value problems

DOI10.1007/s13370-021-00895-5zbMath1488.34426OpenAlexW3155290665MaRDI QIDQ2665436

Mahammad Khuddush, D. Leela, K. Rajendra Prasad

Publication date: 19 November 2021

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-021-00895-5

zbMATH Keywords

contraction mapping theoremCaputo fractional derivativeiterative boundary value problemHyer-Ulam stabilityRus' theorem

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37) Perturbations of functional-differential equations (34K27)

Related Items

Iterative system of nabla fractional difference equations with two-point boundary conditions, Certain analysis of solution for the nonlinear two-point boundary value problem with Caputo fractional derivative, Existence theory and stability analysis to the system of fractional order BVP with Riemann-Liouville integral boundary conditions, The existence, uniqueness, and stability results for a nonlinear coupled system using \(\psi\)-Caputo fractional derivatives, Existence of solutions to the iterative system of nonlinear two-point tempered fractional order boundary value problems, Unnamed Item, Positive solutions for an iterative system of nonlinear elliptic equations, Infinitely many positive solutions for an iterative system of fractional BVPs with multistrip Riemann-Stieltjes integral boundary conditions

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