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On Hilfer generalized proportional fractional derivative [PDF]
Advances in Difference Equations, 2020 Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo generalized proportional fractional ...
Idris Ahmed +4 more
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Results in Physics, 2021 This paper is concerned to present and apply a new generalized fractional derivative, that is the Generalized Hilfer-type (GH) fractional derivative.
Tahir Ullah Khan +2 more
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Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative
Advances in Difference Equations, 2021 In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions ...
Samaira Naz +2 more
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Hilfer Fractional Quantum Derivative and Boundary Value Problems
Mathematics, 2022 In this paper, we introduce an extension of the Hilfer fractional derivative, the “Hilfer fractional quantum derivative”, and establish some of its properties.
Phollakrit Wongsantisuk +3 more
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Fractional Gradient Methods via ψ-Hilfer Derivative
Fractal and Fractional, 2023 Motivated by the increase in practical applications of fractional calculus, we study the classical gradient method under the perspective of the ψ-Hilfer derivative.
Nelson Vieira +2 more
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On the ψ -Hilfer fractional derivative
Communications in Nonlinear Science and Numerical Simulation, 2018 In this paper we introduce a new fractional derivative with respect to another function the so-called $\psi$-Hilfer fractional derivative. We discuss some properties and important results of the fractional calculus. In this sense, we present some uniformly convergent sequence of function results and examples involving the Mittag-Leffler function with ...
J. Vanterler da C. Sousa +1 more
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On the (k,s)-Hilfer-Prabhakar Fractional Derivative With Applications to Mathematical Physics
Frontiers in Physics, 2020 In this paper we introduce the (k, s)-Hilfer-Prabhakar fractional derivative and discuss its properties. We find the generalized Laplace transform of this newly proposed operator. As an application, we develop the generalized fractional model of the free-
Muhammad Samraiz +4 more
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Fractal and Fractional, 2023 In this paper, the Kharrat–Toma transforms of the Prabhakar integral, a Hilfer–Prabhakar (HP) fractional derivative, and the regularized version of the HP fractional derivative are derived.
Ved Prakash Dubey +3 more
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Lyapunov-type inequalities for sequential fractional boundary value problems using Hilfer’s fractional derivative [PDF]
Journal of Inequalities and Applications, 2019 This paper is devoted to studying the Lyapunov-type inequality for sequential Hilfer fractional boundary value problems. We first provide some properties of Hilfer fractional derivative, and then establish Lyapunov-type inequalities for a sequential ...
Wei Zhang, Wenbin Liu
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Existence and uniqueness for a problem involving Hilfer fractional derivative
Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Furati, K.M., Kassim, M.D., Tatar, N.e-.
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