1. RECENT RESULTS ON FRACTIONAL LYAPUNOV-TYPE INEQUALITIES: A SURVEY.
- Author
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NTOUYAS, SOTIRIS K., AHMAD, BASHIR, and TARIBOON, JESSADA
- Subjects
FRACTIONAL calculus ,INTEGRAL inequalities ,MATHEMATICAL inequalities ,MATHEMATICAL formulas ,LYAPUNOV functions - Abstract
This survey paper complements to our previous review papers on Lyapunov-type inequalities and contains some of the most recent results on these inequalities for fractional boundary value problems involving a variety of fractional derivative operators and boundary conditions. In precise terms, we have included the results related to Riemann-Liouville, Caputo, mixed Riemann-Liouville and Caputo, Riesz-Caputo, ψ -Caputo, Hadamard, Katugampola, Hilfer, ψ - Hilfer, proportional, variable order Hadamard, partial, systems of Riemann-Liouville, bi-ordinal Hilfer-Katugampola, and ψ -Hilfer fractional derivative operators. The Lyapunov-type inequalities for discrete fractional boundary value problems are also presented. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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