A general fractional differential equation associated with an integral operator with the \(H\)-function in the kernel

DOI10.1134/S1061920815010124zbMath1326.34023WikidataQ115247720 ScholiaQ115247720MaRDI QIDQ2354105

Yanyan Li

Publication date: 10 July 2015

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

fractional differential equationsFox's \(H\)-functionfractional integral operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items

Properties of \(\psi\)-Mittag-Leffler fractional integrals, A comparative study of the stability of some fractional-order cobweb economic models, Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications, On the fractional calculus of multivariate Mittag-Leffler functions, New Chebyshev type inequalities via a general family of fractional integral operators with a modified Mittag-Leffler kernel, Fractional differential equations related to an integral operator involving the incomplete I‐function as a kernel, A class of fractional integral operators involving a certain general multiindex Mittag-Leffler function, On univariate fractional calculus with general bivariate analytic kernels, Unnamed Item, An efficient analytical method for solving local fractional nonlinear PDEs arising in mathematical physics, Unnamed Item, Some composition formulae for the M-S-M fractional integral operator with the multi-index Mittag-Leffler functions, Unnamed Item, The role of the Mittag-Leffler function in fractional modeling, Certain formulas involving a multi-index Mittag-Leffler function

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-sided inequalities for the extended Hurwitz-Lerch zeta function
• Some fractional-calculus results for the \(\overline H\)-function associated with a class of Feynman integrals
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• Integral and computational representations of the extended Hurwitz–Lerch zeta function
• The H function associated with a certain class of Feynman integrals
• New properties of hypergeometric series derivable from Feynman integrals II. A generalisation of the H function
• Generalized mittag-leffler function and generalized fractional calculus operators
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• Operators of fractional integration and their applications