On some computable solutions of unified families of fractional differential equations
DOI10.1007/s40863-021-00243-2OpenAlexW3166606097WikidataQ115371587 ScholiaQ115371587MaRDI QIDQ2107705
Publication date: 2 December 2022
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-021-00243-2
fractional kinetic equationsfractional relaxation equationfractional Cauchy-type equationfractional Volterra-type equationHilfer-Prabhakar derivative operatorLorenzo-Hartley's G-function
Fractional derivatives and integrals (26A33) Laplace transform (44A10) Other functions defined by series and integrals (33E20) Fractional ordinary differential equations (34A08)
Cites Work
- 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
- Hilfer-Prabhakar derivatives and some applications
- Mathematical modeling of fractional differential filtration dynamics based on models with Hilfer-Prabhakar derivative
- Exact analytic solutions for the unsteady flow of a non-Newtonian fluid between two cylinders with fractional derivative model
- Recent history of fractional calculus
- On the solutions of certain fractional kinetic equations
- Fractional kinetic equation for Hamiltonian chaos
- Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels
- Solutions with wright functions for time fractional convection flow near a heated vertical plate
- The Lorenzo-Hartley's function for fractional calculus and its applications pertaining to fractional order modelling of anomalous relaxation in dielectrics
- The Volterra type equations related to the non-Debye relaxation
- A biomathematical view on the fractional dynamics of cellulose degradation
- Some generalized fractional calculus operators and their applications in integral equations
- Models of dielectric relaxation based on completely monotone functions
- Fractional trigonometry and the spiral functions
- Some Volterra-type fractional integro-differential equations with a multivariable confluent hypergeometric function as their kernel
- The Fractional Trigonometry
- Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
- Time-fractional derivatives in relaxation processes: a tutorial survey
- Solution of a fractional differintegral equation
- Generalized mittag-leffler function and generalized fractional calculus operators
- Some properties of Prabhakar-type fractional calculus operators
- The Havriliak–Negami relaxation and its relatives: the response, relaxation and probability density functions
- Fractional kinetic equations: solutions and applications
- Remarks on some families of fractional-order differential equations
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- Special Functions for Applied Scientists
- Mittag-Leffler Functions, Related Topics and Applications
- The fractional kinetic equation and thermonuclear functions.
This page was built for publication: On some computable solutions of unified families of fractional differential equations