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Evolution psi-Hilfer fractional differential equations in Banach spaces

open access: yesElectronic Journal of Differential Equations
This article concerns evolution equations involving $\psi$-Hilfer fractional derivative in a Banach space. By using the theory of fractional calculus and $\psi$-Laplace transform, we firstly derive a definition of mild solutions for these equations ...
Jin Liang, Yunyi Mu, Ti-Jun Xiao
doaj  

Non-existence of global solutions for a differential equation involving Hilfer fractional derivative

open access: yesElectronic Journal of Differential Equations, 2013
We consider a basic fractional differential inequality with a fractional derivative named after Hilfer and a polynomial source. A non-existence of global solutions result is proved in an appropriate space and the critical exponent is shown to be ...
Khaled M. Furati   +2 more
doaj  

Pseudo-fractional differential equations and generalized g-Laplace transform. [PDF]

open access: yesJ Pseudodiffer Oper Appl, 2021
Sousa JVDC   +3 more
europepmc   +1 more source

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials. [PDF]

open access: yesSoft comput, 2023
Avazzadeh Z   +5 more
europepmc   +1 more source

Combining Fractional Derivatives and Machine Learning: A Review. [PDF]

open access: yesEntropy (Basel), 2022
Raubitzek S, Mallinger K, Neubauer T.
europepmc   +1 more source

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