Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus

DOI10.3934/MATH.2020096zbMath1484.33011OpenAlexW2999504586MaRDI QIDQ2132885

D. L. Suthar, Jagdev Singh, Arif M. Khan, Anita Alaria, Sunil Dutt Purohit

Publication date: 28 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2020096

zbMATH Keywords

integral transformextended beta functionextended Bessel-Maitland functionRiemann-Liouville fractional calculus operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Laplace transform (44A10) Integral transforms of special functions (44A20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (8)

Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox-Wright functions ⋮ On the new bicomplex generalization of Hurwitz-Lerch zeta function with properties and applications ⋮ Some integral representations of the \(_pR_q(\alpha,\beta;z)\) function ⋮ Some fractional operators with the generalized Bessel-Maitland function ⋮ The extended Bessel-Maitland function and integral operators associated with fractional calculus ⋮ Integral transforms involving a generalized \(k\)-Bessel function ⋮ Unnamed Item ⋮ Certain integral transforms concerning the product of family of polynomials and generalized incomplete functions

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of extended Mittag-Leffler functions and their properties related to integral transforms and fractional calculus
• The extended Mittag-Leffler function and its properties
• Application of fractional operators in modelling for charge carrier transport in amorphous semiconductor with multiple trapping
• CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS
• Fundamental solutions of the general fractional‐order diffusion equations
• On an extension of extended beta and hypergeometric functions
• An application of q-Sumudu transform for fractional q-kinetic equation
• A mathematical fractional model with nonsingular kernel for thrombin receptor activation in calcium signalling
• General Fractional Derivatives with Applications in Viscoelasticity
• A hybrid analytical algorithm for nonlinear fractional wave-like equations
• Fundamental solutions of anomalous diffusion equations with the decay exponential kernel

This page was built for publication: Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus