NABLA FRACTIONAL EXTENDED LORENTZ OSCILLATOR AND ITS STABILITY

DOI10.17654/DE023020151zbMath1492.39003OpenAlexW3108914185WikidataQ114049296 ScholiaQ114049296MaRDI QIDQ5035375

D. Vignesh, A. George Maria Selvam

Publication date: 21 February 2022

Published in: Advances in Differential Equations and Control Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/de023020151

zbMATH Keywords

uniquenessHyers-Ulam stabilitydiscretefractional ordernabla operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Difference equations, scaling ((q)-differences) (39A13) Fractional ordinary differential equations (34A08) Stability theory for difference equations (39A30)

Cites Work

• Nonlinear impulsive problems for fractional differential equations and Ulam stability
• Asymptotic stability results for nonlinear fractional difference equations
• Hyers-Ulam stability of fractional nabla difference equations
• Modeling with fractional difference equations
• Existence and uniqueness theorem of the solution to a class of nonlinear nabla fractional difference system with a time delay
• Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications
• Existence and Ulam stability of solutions for discrete fractional boundary value problem
• Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type
• GENERALIZED ULAM–HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
• Two-point boundary value problems for finite fractional difference equations
• Discrete Fractional Calculus
• Fixed points and asymptotic stability of nonlinear fractional difference equations
• Discrete fractional calculus with the nabla operator
• Initial value problems in discrete fractional calculus
• Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations
• Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations
• Ulam‐Hyers stability of Caputo fractional difference equations
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