Generalized fractional operator with applications in mathematical physics

DOI10.1016/j.chaos.2022.112830OpenAlexW4309030305MaRDI QIDQ2679986

Saima Naheed, Ahsan Mehmood, Gauhar Rahman, Sajid Iqbal, Yu-Ming Chu, Muhammad Samraiz

Publication date: 26 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112830

zbMATH Keywords

fractional derivativefractional kinetic differintegral equationweighted fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Fractional ordinary differential equations (34A08)

Related Items (1)

A modified class of Ostrowski-type inequalities and error bounds of Hermite-Hadamard inequalities

Cites Work

• Hilfer-Prabhakar derivatives and some applications
• Some fractional integral formulas for the Mittag-Leffler type function with four parameters
• The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
• The \((k,s)\)-fractional calculus of \(k\)-Mittag-Leffler function
• Some properties of wright-type generalized hypergeometric function via fractional calculus
• Representations of acting processes and memory effects: general fractional derivative and its application to theory of heat conduction with finite wave speeds
• On fractional calculus with general analytic kernels
• A new approach on fractional calculus and probability density function
• Generalized fractional derivatives and Laplace transform
• A review of definitions of fractional derivatives and other operators
• Hadamard-type integrals as G-transforms
• k-Hilfer-Prabhakar Fractional Derivatives and Applications
• Generalized hypergeometric k-functions via (k,s)-fractional calculus
• ON THE WEIGHTED FRACTIONAL OPERATORS OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION
• Mittag-Leffler Functions, Related Topics and Applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized fractional operator with applications in mathematical physics