Hilfer fractional derivative - Open Access .click

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

Electronic 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

Evolution psi-Hilfer fractional differential equations in Banach spaces

Electronic 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

Using the Laplace Transform Technique to Solve Hilfer Fractional Partial Differential Equations

Journal of Mathematical Sciences and Modelling
This work derives analytical solutions to fractional partial differential equations utilizing the Hilfer fractional derivative through the use of the Laplace transform method.
Mehmet Merdan, Şeyma Şişman
doaj +1 more source

Leibniz type rule: $\Psi-$Hilfer fractional derivative

, 2018
Comment: 16 ...
Sousa, J. Vanterler da C., de Oliveira, E. Capelas +1 more
openaire +1 more source

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