On Katugampola fractional order derivatives and Darboux problem for differential equations

DOI10.4067/S0719-06462020000100125zbMath1443.35164OpenAlexW3017153430MaRDI QIDQ5113855

Djalal Boucenna, Abdellatif Ben Makhlouf, Mohamed Ali Hammami

Publication date: 18 June 2020

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0719-06462020000100125

zbMATH Keywords

fractional differential equationsCaputo-Katugampola derivativeDarboux problema

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (3)

General conformable estimators with finite-time stability ⋮ Ulam-Hyers-Rassias Mittag-Leffler stability for the Darboux problem for partial fractional differential equations ⋮ Existence results of self-similar solutions of the space-fractional diffusion equation involving the generalized Riesz-Caputo fractional derivative

Cites Work

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• Impulsive fractional partial differential equations
• Mellin transforms of generalized fractional integrals and derivatives
• Mittag-Leffler functions and their applications
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• On impulsive partial differential equations with Caputo-Hadamard fractional derivatives
• A New Approach to Generalized Fractional Derivatives
• Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations via the method of upper and lower solutions

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