Ulam stability results for boundary value problem of fractional difference equations

zbMath1476.34034MaRDI QIDQ2061715

A. George Maria Selvam, R. Dhineshbabu

Publication date: 16 December 2021

Published in: Advances in Mathematics. Scientific Journal (Search for Journal in Brave)

Full work available at URL: https://research-publication.com/wp-content/uploads/2020/04/AMSJ-2020-N1-18.pdf

zbMATH Keywords

Hyers-Ulam stabilityboundary value problemdiscrete fractional calculusRiemann-Liouville fractional difference operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability theory of functional-differential equations (34K20) Discrete version of topics in analysis (39A12) Boundary value problems for functional-differential equations (34K10) Fractional ordinary differential equations (34A08)

Related Items (1)

Discrete fractional order two-point boundary value problem with some relevant physical applications

Cites Work

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• A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations
• Existence of positive solutions for Caputo fractional difference equation
• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence and Ulam stability of solutions for discrete fractional boundary value problem
• Two-point boundary value problems for finite fractional difference equations
• On Differences of Fractional Order
• On Ulam's type stability for a class of impulsive fractional differential equations with nonlinear integral boundary conditions

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