Results 21 to 30 of about 650,024 (164)
Boundary Value Problems, 2018 This paper is concerned with the fractional differential equations of Sobolev type with boundary conditions in a Banach space. With the help of the properties of Hilfer fractional calculus, the theory of propagation families as well as the theory of the ...
Haide Gou, Baolin Li
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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
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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
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Uniqueness of continuous solution to $q$-Hilfer fractional hybrid integro-difference equation of variable order [PDF]
, 2021 In this paper, the authors introduced a novel definition based on Hilfer fractional derivative, which name $q$-Hilfer fractional derivative of variable order.
AHMED, IDRIS +2 more
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Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative
Journal of Taibah University for Science, 2020 In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
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Impulsive Hilfer fractional differential equations
Advances in Difference Equations, 2018 Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established ...
Hamdy M. Ahmed +3 more
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Controllability of damped dynamical systems modelled by Hilfer fractional derivatives
Journal of Taibah University for Science, 2022 In this article, we investigate the controllability of damped dynamical system modelled by Hilfer derivative of fractional order [Formula: see text] and [Formula: see text].
S. Naveen +3 more
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Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition
Advances in Difference Equations, 2021 In this article, we debate the existence of solutions for a nonlinear Hilfer fractional differential inclusion with nonlocal Erdélyi–Kober fractional integral boundary conditions (FIBC).
Adel Lachouri +4 more
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The dynamics of monkeypox disease under ψ–Hilfer fractional derivative: Application to real data
Results in Physics, 2023 The mathematical model for monkeypox infection using the ψ–Hilfer fractional derivative is presented in this study. The integer order formulation is extended to the fractional order system by employing the ψ–Hilfer fractional derivative.
Bashir Al-Hdaibat +6 more
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Attractivity for differential equations of fractional order and ψ-Hilfer type
, 2020 This paper investigates the overall solution attractivity of the fractional differential equation involving the ψ-Hilfer fractional derivative and using the Krasnoselskii’s fixed point theorem.
Sousa, J. Vanterler da C. +5 more
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