An operational calculus approach to Hilfer-Prabhakar fractional derivatives
From MaRDI portal
Publication:6158445
DOI10.1007/s43037-023-00258-1zbMath1517.44003MaRDI QIDQ6158445
Živorad Tomovski, Noosheza Rani, Arran Fernandez
Publication date: 31 May 2023
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
fractional calculusMikusiński's operational calculusfractional differential equationsHilfer-Prabhakar operators
Fractional derivatives and integrals (26A33) Calculus of Mikusi?ski and other operational calculi (44A40) Fractional ordinary differential equations (34A08)
Related Items
Volterra-Prabhakar function of distributed order and some applications ⋮ Mikusiński's operational calculus for general conjugated fractional derivatives
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hilfer-Prabhakar derivatives and some applications
- General fractional calculus, evolution equations, and renewal processes
- Linear algebraic foundations of the operational calculi
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Operational calculus
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- An operational method for solving fractional differential equations with the Caputo derivatives
- Storage and dissipation of energy in Prabhakar viscoelasticity
- The exact solution of certain differential equations of fractional order by using operational calculus
- A Caputo fractional derivative of a function with respect to another function
- On fractional calculus with general analytic kernels
- Solving Prabhakar differential equations using Mikusiński's operational calculus
- Prabhakar-type linear differential equations with variable coefficients.
- A practical guide to Prabhakar fractional calculus
- Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
- On the \(\psi\)-Hilfer fractional derivative
- Applications of Hilfer-Prabhakar operator to option pricing financial model
- A review of definitions of fractional derivatives and other operators
- Operational solution of fractional differential equations
- Some generalized fractional calculus operators and their applications in integral equations
- Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients
- Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
- Operationl method for solving generalized abel integral equation of second kind
- Generalized mittag-leffler function and generalized fractional calculus operators
- Some properties of Prabhakar-type fractional calculus operators
- Classes of operators in fractional calculus: A case study
- Mikusiński's operational calculus for Prabhakar fractional calculus
- Fractional Equations and Models
- An Operational Method in Partial Differential Equations
- Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
