Further properties of Osler's generalized fractional integrals and derivatives with respect to another function

DOI10.1216/RMJ-2019-49-8-2459zbMath1434.26006MaRDI QIDQ2293659

Ricardo Almeida

Publication date: 5 February 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1580461777

zbMATH Keywords

Taylor's theoremfractional derivativefractional integralexpansion formulassemigroup law

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fractional derivatives and integrals (26A33)

Related Items (9)

Optimality conditions for variational problems involving distributed-order fractional derivatives with arbitrary kernels ⋮ Hilfer-type fractional differential equations with variable coefficients ⋮ Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative ⋮ A note on generalized fractional diffusion equations on Poincaré half plane ⋮ Variational approach for the Kirchhoff problem involving the p$$ p $$‐Laplace operator and the ψ$$ \psi $$‐Hilfer derivative ⋮ Properties of fractional calculus with respect to a function and Bernstein type polynomials ⋮ Generalized weakly singular integral inequalities with applications to fractional differential equations with respect to another function ⋮ Fractional variational principle of Herglotz for a new class of problems with dependence on the boundaries and a real parameter ⋮ Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions

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