On Hilfer generalized proportional fractional derivative

DOI10.1186/s13662-020-02792-wzbMath1485.26002OpenAlexW3039379244MaRDI QIDQ2116137

Poom Kumam, Wachirapong Jirakitpuwapat, Piyachat Borisut, Idris Ahmed, Fahd Jarad

Publication date: 16 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02792-w

zbMATH Keywords

existencefixed point theoremsVolterra integral equationnonlocal conditionproportional fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)

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Existence and uniqueness results for \(\Phi\)-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition, On \(\psi\)-Hilfer generalized proportional fractional operators, On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses, On fuzzy Volterra-Fredholm integrodifferential equation associated with Hilfer-generalized proportional fractional derivative, Existence and stability of integro differential equation with generalized proportional fractional derivative, A Gronwall inequality and its applications to the Cauchy-type problem under \(\psi\)-Hilfer proportional fractional operators, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item

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