Results 31 to 40 of about 2,624 (188)
On Some Operators Involving Hadamard Derivatives [PDF]
, 2013 In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
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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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Fractional diffusion modeling of ion channel gating [PDF]
, 2004 An anomalous diffusion model for ion channel gating is put forward. This scheme is able to describe non-exponential, power-law like distributions of residence time intervals in several types of ion channels.
A. L. Hodgkin +15 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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Generalized Laplace transform and tempered Ψ-Caputo fractional derivative
Mathematical Modelling and Analysis, 2023 In this paper, images of the tempered Ψ-Hilfer fractional integral and the tempered Ψ-Caputo fractional derivative under the generalized Laplace transform are derived.
Milan Medveď, Michal Pospíšil
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A generalized study of the distribution of buffer over calcium on a fractional dimension
Applied Mathematics in Science and Engineering, 2023 Calcium is an essential element in our body and plays a vital role in moderating calcium signalling. Calcium is also called the second messenger. Calcium signalling depends on cytosolic calcium concentration.
Sanjay Bhatter +5 more
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Hilfer-Prabhakar Derivatives and Some Applications
, 2014 We present a generalization of Hilfer derivatives in which Riemann--Liouville integrals are replaced by more general Prabhakar integrals. We analyze and discuss its properties.
Garra, Roberto +3 more
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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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Controllability of Hilfer fractional Langevin evolution equations
Frontiers in Applied Mathematics and Statistics, 2023 The existence of fractional evolution equations has attracted a growing interest in recent years. The mild solution of fractional evolution equations constructed by a probability density function was first introduced by El-Borai.
Haihua Wang, Junhua Ku
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Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation
, 2004 A detailed study is presented for a large class of uncoupled continuous-time random walks (CTRWs). The master equation is solved for the Mittag-Leffler survival probability.
A. Compte +47 more
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