Results 81 to 90 of about 408 (175)

Existence and Ulam stability of k-Generalized ψ-Hilfer Fractional Problem

Journal of Innovative Applied Mathematics and Computational Sciences, 2022
In this paper, we prove existence, uniqueness stability results for a class of initial value problem for fractional differential equations involving generalized ψ-Hilfer fractional derivative.
Jamal Eddine Lazreg, Mouffak Benchohra, Abdelkrim Salim   +2 more
doaj  

Measure of noncompactness for nonlinear Hilfer fractional differential equation with mixed fractional integral boundary conditions in Banach space

Journal of Innovative Applied Mathematics and Computational Sciences, 2022
The aim of this work is to study the existence of solutions to a class of fractional differential equations with a mixed of fractional integral boundary conditions involving the Hilfer fractional derivative.
Maamar Benbachir, Abdelatif Boutiara
doaj  

Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation

Journal of Taibah University for Science, 2019
In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.
D. Vivek, Kamal Shah, K. Kanagarajan
doaj   +1 more source

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, Mohammed D. Kassim, Nasser-eddine Tatar   +2 more
doaj  

A new representation formula for the Hilfer fractional derivative and its application

Journal of Computational and Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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

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

J Pseudodiffer Oper Appl, 2021
Sousa JVDC, Camargo RF, de Oliveira EC, Frederico GSF.   +3 more
europepmc   +1 more source

Novel insights for a nonlinear deterministic-stochastic class of fractional-order Lassa fever model with varying kernels. [PDF]

Sci Rep, 2023
Rashid S, Karim S, Akgül A, Bariq A, Elagan SK.   +4 more
europepmc   +1 more source

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

Soft comput, 2023
Avazzadeh Z, Hassani H, Agarwal P, Mehrabi S, Ebadi MJ, Dahaghin MS.   +5 more
europepmc   +1 more source