On a New Extension of Caputo Fractional Derivative Operator

DOI10.1007/978-981-10-4337-6_11zbMath1383.26005OpenAlexW2754035129WikidataQ62617543 ScholiaQ62617543MaRDI QIDQ4609701

İ. Onur Kıymaz, Ayşegül Çetinkaya, Praveen Agarwal, Shilpi Jain

Publication date: 26 March 2018

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

Full work available at URL: https://doi.org/10.1007/978-981-10-4337-6_11

zbMATH Keywords

generating functionshypergeometric functionsintegral representationsCaputo fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Related Items (11)

Generalized Extended Riemann-Liouville Type Fractional Derivative Operator ⋮ Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving \(\psi\)-Caputo fractional derivative ⋮ Extended Riemann-Liouville type fractional derivative operator with applications ⋮ A generalization of truncated M-fractional derivative and applications to fractional differential equations ⋮ Fractional calculus of the extended hypergeometric function ⋮ Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection ⋮ A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators ⋮ Incomplete Caputo fractional derivative operators ⋮ Upper and lower solutions method for Caputo-Hadamard fractional differential inclusions ⋮ On the \(\mathcal{PC}\)-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness ⋮ Application of new iterative method to fractional order integro-differential equations

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