A derivative concept with respect to an arbitrary kernel and applications to fractional calculus

DOI10.1002/mma.5329OpenAlexW3100944499WikidataQ129066810 ScholiaQ129066810MaRDI QIDQ4626737

Bessem Samet, Mohamed Jleli, Mukhtar Bin Muhammad Kirane

Publication date: 28 February 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02602

zbMATH Keywords

boundary value problemfractional calculusconjugate kernels\(k\)-derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Derivatives of functions in infinite-dimensional spaces (46G05) Kernel operators (47B34)

Related Items (8)

Generalising the fractional calculus with Sonine kernels via conjugations ⋮ On univariate fractional calculus with general bivariate analytic kernels ⋮ Abstract algebraic construction in fractional calculus: parametrised families with semigroup properties ⋮ An operational calculus formulation of fractional calculus with general analytic kernels ⋮ On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory ⋮ Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation ⋮ Convexity according to a pair of quasi-arithmetic means and inequalities ⋮ A fractional derivative with two singular kernels and application to a heat conduction problem

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