Modified special functions: properties, integral transforms and applications to fractional differential equations
DOI10.5269/BSPM.65601MaRDI QIDQ6596867
Publication date: 3 September 2024
Published in: Boletim da Sociedade Paranaense de Matemática. Terceira Série (Search for Journal in Brave)
beta functionintegral transformshypergeometric functionsfractional differential equationsCaputo fractional derivativegeneralized M-series
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Integral transforms of special functions (44A20) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Fractional ordinary differential equations (34A08)
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- EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
- Sumudu transform: a new integral transform to solve differential equations and control engineering problems
- GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
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