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The Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation
- Publication Year :
- 2016
- Publisher :
- Taylor & Francis Ltd, 2016.
-
Abstract
- In this paper we study an n-dimensional generalization of time-fractional diffusion-wave equation, where the Laplacian operator is replaced by the ultra-hyperbolic operator and the time-fractional derivative is taken in the Hilfer sense. The analytical solution is obtained in terms of the Fox's H-function, for which the inverse Fourier transform of a Mittag–Leffler-type function that contains in its argument a positive-definite quadratic form is calculated. Fil: Dorrego, Gustavo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
- Subjects :
- INTEGRALS TRANSFORMS
Matemáticas
FRACTIONAL DIFFERENTIAL EQUATION
01 natural sciences
Matemática Pura
symbols.namesake
Mittag-Leffler function
Generalizations of the derivative
0101 mathematics
CAPUTO FRACTIONAL DERIVATIVE
Computer Science::Distributed, Parallel, and Cluster Computing
Mathematics
Applied Mathematics
Operator (physics)
010102 general mathematics
Mathematical analysis
Wave equation
ULTRA-HYPERBOLIC OPERATOR
Fractional calculus
010101 applied mathematics
Fourier transform
Quadratic form
HILFER FRACTIONAL DERIVATIVE
symbols
MITTAG–LEFFLER-TYPE FUNCTION
RIEMANNundefinedLIOUVILLE FRACTIONAL DERIVATIVE
Laplace operator
Analysis
FOX'S H-FUNCTION
CIENCIAS NATURALES Y EXACTAS
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....ca6a22ec448d099f54e339d5fca45daf