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On generalized \((k,\psi)\)-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem

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Publication:6587691
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DOI10.1186/s13661-024-01891-xMaRDI QIDQ6587691

Jutarat Kongson, Chatthai Thaiprayoon, Weerawat Sudsutad

Publication date: 14 August 2024

Published in: Boundary Value Problems (Search for Journal in Brave)



zbMATH Keywords

existence and uniquenessfractional differential equationsPicard's iterative method\((k, \psi)\)-Hilfer proportional fractional derivative


Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional derivatives and integrals (26A33) Laplace transform (44A10) Fractional ordinary differential equations (34A08)








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