Mikusiński's operational calculus for Prabhakar fractional calculus
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Publication:5049183
DOI10.1080/10652469.2022.2057970OpenAlexW4226346491WikidataQ114010734 ScholiaQ114010734MaRDI QIDQ5049183
Arran Fernandez, Noosheza Rani
Publication date: 11 November 2022
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2022.2057970
fractional calculusMikusiński's operational calculusfractional differential equationsoperational calculusPrabhakar fractional calculus
Fractional derivatives and integrals (26A33) Calculus of Mikusi?ski and other operational calculi (44A40) Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08)
Related Items
Solving Prabhakar differential equations using Mikusiński's operational calculus, An operational calculus approach to Hilfer-Prabhakar fractional derivatives, Abstract algebraic construction in fractional calculus: parametrised families with semigroup properties, An operational calculus formulation of fractional calculus with general analytic kernels
Uses Software
Cites Work
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- Hilfer-Prabhakar derivatives and some applications
- An operational method for solving fractional differential equations with the Caputo derivatives
- Storage and dissipation of energy in Prabhakar viscoelasticity
- On fractional calculus with general analytic kernels
- Operational calculus for the general fractional derivative and its applications
- Operational calculus for the Riemann-Liouville fractional derivative with respect to a function and its applications
- A practical guide to Prabhakar fractional calculus
- A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators
- Stability and dynamics of neutral and integro-differential regularized Prabhakar fractional differential systems
- Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
- General fractional calculus and Prabhakar's theory
- A new collection of real world applications of fractional calculus in science and engineering
- Applications of Hilfer-Prabhakar operator to option pricing financial model
- Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations
- A Unified Approach to Boundary Value Problems
- Generalized mittag-leffler function and generalized fractional calculus operators
- Mittag-Leffler Functions, Related Topics and Applications
- Classes of operators in fractional calculus: A case study
- Oscillatory solutions of fractional integro‐differential equations II
- On a new definition of fractional differintegrals with Mittag-Leffer kernel
- Fractional Prabhakar Derivative and Applications in Anomalous Dielectrics: A Numerical Approach
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- An Operational Method in Partial Differential Equations
- A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
