Proper inverse operators of fractional derivatives with nonsingular kernels

DOI10.1007/S12215-021-00638-2zbMath1503.26002OpenAlexW3182074579MaRDI QIDQ2154666

Mohammed Al-Refai

Publication date: 20 July 2022

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00638-2

zbMATH Keywords

fractional derivatives

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (1)

ON AN EXTENSION OF THE OPERATOR WITH MITTAG-LEFFLER KERNEL

Cites Work

• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• Reduction of order formula and fundamental set of solutions for linear fractional differential equations
• On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
• A new fractional integral associated with the Caputo-Fabrizio fractional derivative
• A Caputo-Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment
• New fractional derivatives with non-singular kernel applied to the Burgers equation
• Fractional Differential Equations Involving Caputo Fractional Derivative with Mittag-Leffler Non-Singular Kernel: Comparison Principles and Applications
• Analysis of a fractional eigenvalue problem involving Atangana-Baleanu fractional derivative: A maximum principle and applications
• Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
• Fractional Calculus

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