Implicit fractional differential equation with nonlocal integral-multipoint boundary conditions in the frame of Hilfer fractional derivative [PDF]
, 2021 This article deals with a nonlinear implicit fractional differential equation with nonlocal integral-multipoint boundary conditions in the frame of Hilfer fractional derivative.
Shaikh, Sadikali L., Redhwan, Saleh
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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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Stability analysis of Hilfer fractional-order differential equations
, 2023 This article considers the linear autonomous systems involving Hilfer fractional derivative. Starting from the generalized version of the well-known Matignon’s stability result for Caputo systems, we present a detailed portrayal of the stability of ...
Sachin Bhalekar, Abhiram Hegade
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On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative [PDF]
, 2012 This paper studies a fractional differential inequality involving a new fractional derivative (Hilfer-Hadamard type) with a polynomial source term. We obtain an exponent for which there does not exist any global solution for the problem.
K. M. Furati, M. D. Qassim, N.-E. Tatar
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, 2023 In this paper, we establish the existence of solutions for a class of nonlinear neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative.
Özyurt, SELMA +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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Fractional Stochastic Differential Equations with Hilfer Fractional Derivative: Poisson Jumps and Optimal Control [PDF]
, 2017 In this work, we consider a class of fractional stochastic differential system with Hilfer fractional derivative and Poisson jumps in Hilbert space. We study the existence and uniqueness of mild solutions of such a class of fractional stochastic system ...
Fathalla A. Rihan +2 more
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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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Applications of Hilfer-Prabhakar operator to option pricing financial model
, 2020 In this paper, we focus on option pricing models based on time-fractional diffusion with generalized Hilfer-Prabhakar derivative. It is demonstrated how the option is priced for fractional cases of European vanilla option pricing models.
Tomovski, Živorad (author) +2 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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