QUALITATIVE PROPERTIES OF SOLUTIONS OF FRACTIONAL DIFFERENTIAL AND DIFFERENCE EQUATIONS ARISING IN PHYSICAL MODELS

DOI10.1142/S0218348X21400247zbMath1489.39005OpenAlexW3120244558WikidataQ115245825 ScholiaQ115245825MaRDI QIDQ5023998

Zareen A. Khan, Hijaz Ahmad

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21400247

zbMATH Keywords

fractional difference equationGronwall inequalitydiscrete fractional difference inequalityfractional sum inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Fractional ordinary differential equations (34A08)

Cites Work

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• Necessary optimality conditions for fractional difference problems of the calculus of variations
• Continuity of solutions to discrete fractional initial value problems
• Modeling with fractional difference equations
• Minkowski's inequality for the AB-fractional integral operator
• Association of Jensen's inequality for \(s\)-convex function with Csiszár divergence
• Study on the estimates of Gronwall-Ou-Iang dynamic integral inequalities by means of diamond-\(\alpha\) derivatives
• Solvability for a class of integral inequalities with maxima on the theory of time scales and their applications
• A new adaptive synchronization and hyperchaos control of a biological snap oscillator
• Some further results of the Laplace transform for variable-order fractional difference equations
• Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
• Integral majorization type inequalities for the functions in the sense of strong convexity
• Inequalities for \(n\)-class of functions using the Saigo fractional integral operator
• On some explicit bounds of integral inequalities related to time scales
• Hermite-Hadamard-Fejér inequalities for conformable fractional integrals via preinvex functions
• Two-point boundary value problems for finite fractional difference equations
• Sum and Difference Compositions in Discrete Fractional Calculus
• Some Gronwall type inequalities on time scales
• Discrete fractional calculus with the nabla operator
• Initial value problems in discrete fractional calculus
• Coordinate strongly s-convex functions and related results
• Hadamard-type fractional differential equations for the system of integral inequalities on time scales

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