Positive solution of nonlinear fractional differential equations with Caputo‐like counterpart hyper‐Bessel operators

DOI10.1002/MMA.6086zbMath1455.34012OpenAlexW2990840976MaRDI QIDQ5120040

Kang Qun Zhang

Publication date: 9 September 2020

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

Full work available at URL: https://doi.org/10.1002/mma.6086

zbMATH Keywords

positive solutionCaputo fractional derivativefractional differential equationGronwall-type integral inequalityCaputo-like counterpart hyper-Bessel operator

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Mittag-Leffler functions and generalizations (33E12) Applications of operator theory to differential and integral equations (47N20) Inequalities involving other types of functions (26D07) Fractional ordinary differential equations (34A08)

Related Items (4)

Applications of Erdélyi-Kober fractional integral for solving time-fractional Tricomi-Keldysh type equation ⋮ On existence and continuity results of solution for multi-time scale fractional stochastic differential equation ⋮ Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative ⋮ Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator

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