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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Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions [PDF]
, 2000 We consider the $d=1$ nonlinear Fokker-Planck-like equation with fractional derivatives $\frac{\partial}{\partial t}P(x,t)=D \frac{\partial^{\gamma}}{\partial x^{\gamma}}[P(x,t) ]^{\nu}$.
A.I. Saichev +31 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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On Hilfer cotangent fractional derivative and a particular class of fractional problems
AIMS Mathematics, 2023 In this work, a novel Hilfer cotangent fractional derivative is presented. This derivative combines the characteristics of the Riemann-Liouville cotangent fractional derivative and the Caputo cotangent fractional derivative.
Lakhlifa Sadek, Tania A Lazǎr
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On ψ-Hilfer generalized proportional fractional operators
AIMS Mathematics, 2022 In this paper, we introduce a generalized fractional operator in the setting of Hilfer fractional derivatives, the ψ-Hilfer generalized proportional fractional derivative of a function with respect to another function. The proposed operator can be viewed
Ishfaq Mallah +3 more
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Some new Grüss inequalities associated with generalized fractional derivative
AIMS Mathematics, 2023 In this paper, we prove several new integral inequalities for the k-Hilfer fractional derivative operator, which is a fractional calculus operator. As a result, we have a whole new set of fractional integral inequalities.
Sajid Iqbal +4 more
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Integral Transforms of the Hilfer-Type Fractional Derivatives
Asian Research Journal of Mathematics, 2022 In this paper, some important properties concerning the Hilfer-type fractional derivative are discussed. Integral transforms for these operators are derived as particular cases of the Jafari transform, Mellin transform and Fourier transform. These integral transforms are used to derive a fractional version of the fundamental theorem of calculus.
J. Vanterler da C. Sousa +3 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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Studying the Stability of the ψ-Hilfer Fractional Differential System
Complexity, 2022 This paper devotes to the study on the stability and decay of solution to fractional differential system involving the ψ-Hilfer fractional derivative of order α∈0,1 and type β∈0,1.
Jinping Yang, Zhiqiang Li
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Impulsive stochastic differential equations involving Hilfer fractional derivatives
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2022 Summary: In this paper, we study the existence of mild solutions of Hilfer fractional stochastic differential equation with impulses driven by sub-fractional Brownian motion. The results are obtained by using Burton-Kirk's fixed point theorem. In the end, an example is given to illustrate the obtained results.
Hachemi, Rahma Yasmina Moulay +1 more
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