Results 31 to 40 of about 408 (175)
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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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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Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem
Universal Journal of Mathematics and Applications, 2020 In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
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On the Generalization of κ-Fractional Hilfer-Katugampola Derivative with Cauchy Problem
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: We generalize the \(\kappa\)-fractional Hilfer-Katugampola derivative and set some properties of the generalized operator resulting from this. As an application, we demonstrate that the Cauchy problem with this new definition is equivalent to a second kind of Volterra integral equation. We discuss some specific cases for this problem.
Samaira NAZ, Muhammad Nawaz NAEEM
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Journal of Hebei University of Science and Technology, 2023 In order to extend the basic theory of boundary value problems, the existence of solutions for a class of Hilfer fractional impulsive differential equations with finite impulsive points was studied.
Chunjing GUO +3 more
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Journal of Inequalities and Applications, 2019 Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional differential systems with Clarke’s ...
Hamdy M. Ahmed +3 more
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Advances in Difference Equations, 2021 In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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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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Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang +2 more
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