On applications of Caputo \(k\)-fractional derivatives

DOI10.1186/S13662-019-2369-9zbMath1487.26008OpenAlexW2981313766WikidataQ127017482 ScholiaQ127017482MaRDI QIDQ2141961

Ali Imran, Madeeha Nawaz, Ghulam Farid, Matloob Anwar, Muhammad Ozair, Naveed Latif

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2369-9

zbMATH Keywords

fractional differential equationsChebyshev inequalityCaputo fractional derivatives\(k\)-Riemann-Liouville fractional integralsCaputo \(k\)-fractional derivatives

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10) Fractional ordinary differential equations (34A08)

Related Items (4)

On the nonlinear \((k,\Psi)\)-Hilfer fractional differential equations ⋮ Generalized derivatives and Laplace transform in (k,ψ)‐Hilfer form ⋮ The time‐fractional generalized Z‐K equation: Analysis of Lie group, similarity reduction, conservation laws, and explicit solutions ⋮ Solution of variable‐order partial integro‐differential equation using Legendre wavelet approximation and operational matrices

Cites Work

• A further extension of Mittag-Leffler function
• On Hadamard and Fej'{e}r-Hadamard inequalities for Caputo $small{k}$-fractional derivatives
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