Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives

DOI10.5269/bspm.44103OpenAlexW4200231038WikidataQ114017382 ScholiaQ114017382MaRDI QIDQ6189486

Wedad Saleh, Adem Kilicman

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.44103

zbMATH Keywords

Mittag-Leffler functionfractional calculusmodified Riemann-Liouville derivative

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• Criteria for univalence of the Dziok-Srivastava and the Srivastava-Wright operators in the class \(A\)
• The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• On a Concept of Derivative of Complex Order with Applications to Special Functions
• Stochastic differential equations with fractional Brownian motion input
• Unified approach to univalency of the Dziok-Srivastava and fractional calculus operators
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