A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals
DOI10.1080/10652469.2019.1576037zbMath1408.26005OpenAlexW2914884908MaRDI QIDQ4629076
Maryam Al-Kandari, Yu. F. Luchko, L. A.-M. Hanna
Publication date: 25 March 2019
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2019.1576037
Caputo-type Erdélyi-Kober derivativeconvolutions in the Dimovski senseErdélyi-Kober fractional integrals and derivativesMellin-Barnes integral representations
Convolution as an integral transform (44A35) Fractional derivatives and integrals (26A33) Other functions coming from differential, difference and integral equations (33E30)
Related Items (2)
Cites Work
- Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
- An operational method for solving fractional differential equations with the Caputo derivatives
- Wright functions as scale-invariant solutions of the diffusion-wave equation
- The exact solution of certain differential equations of fractional order by using operational calculus
- The Mellin integral transform in fractional calculus
- Integral transforms of the Mellin convolution type and their generating operators
- Operationl method for solving generalized abel integral equation of second kind
- Erdélyi-Kober fractional diffusion
- Operational calculus for the Caputo-type fractional Erdélyi–Kober derivative and its applications
- The Asymptotic Expansion of the Generalized Hypergeometric Function
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