Fractional Calculus of Modified Special Functions İnvolving the Generalized M-Series in their Kernels and İllustrative Examples
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Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we apply the Riemann–Liouville, Erdelyi–Kober and Caputo fractional operators to the modified beta, modified Gauss hypergeometric and modified confluent hypergeometric functions in which the generalized M-series are included in their kernels. Furthermore, as examples, we obtain solutions of some fractional differential equations involving the above modified special functions.
Açıklama
Anahtar Kelimeler
Beta function, Confluent hypergeometric function, Fractional derivatives and integrals, Fractional differential equations, Gauss hypergeometric function
Kaynak
Partial Differential Equations in Applied Mathematics
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Cilt
11
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Künye
Ata, E., Kıymaz, İ. O., Agarwal, P., Jain, S., & Momani, S. (2024). Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples. Partial Differential Equations in Applied Mathematics, 11, 100720.
