An extension of Wright function and its properties

DOI10.1155/2015/950728zbMath1487.33017OpenAlexW2239681478WikidataQ59113032 ScholiaQ59113032MaRDI QIDQ2337089

Ahmed Salem, Moustafa El-Shahed

Publication date: 19 November 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/950728

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Other functions defined by series and integrals (33E20)

Related Items (19)

Computation of certain integral formulas involving generalized Wright function ⋮ Connections between normalized Wright functions with families of analytic functions with negative coefficients ⋮ Solutions with Wright function for time fractional free convection flow of Casson fluid ⋮ Evaluation of transforms and fractional calculus of new extended Wright function ⋮ Unnamed Item ⋮ On the stability of a hyperbolic fractional partial differential equation ⋮ Unnamed Item ⋮ Fractionally delineate the neuroprotective function of calbindin-D28k in Parkinson’s disease ⋮ Some properties concerning the analysis of generalized Wright function ⋮ Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation ⋮ Existence results to a \(\psi\)-Hilfer neutral fractional evolution equation with infinite delay ⋮ Generalized Wright Function and Its Properties Using Extended Beta Function ⋮ On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function ⋮ Monotonicity patterns and functional inequalities for classical and generalized Wright functions ⋮ On \(\psi\)-Caputo partial hyperbolic differential equations with a finite delay ⋮ Fractional calculus and the ESR test ⋮ On the stability and stabilization of some semilinear fractional differential equations in Banach spaces ⋮ Unnamed Item ⋮ On a certain differential inequality and applications for generalized special functions

Cites Work

• Fractals and fractional calculus in continuum mechanics
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• Maximum principle for the generalized time-fractional diffusion equation
• The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
• Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
• Integral transforms of the Mellin convolution type and their generating operators
• On the Coefficients of Power Series Having Exponential Singularities
• Mittag-Leffler Functions, Related Topics and Applications
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