Results 1 to 10 of about 955 (92)

Finite-time stability of nonlinear stochastic ψ-Hilfer fractional systems with time delay

AIMS Mathematics, 2022
In this paper, we study the finite time stability of stochastic ψ-Hilfer fractional-order time-delay systems. Under the stochastic analysis techniques and the generalized Gronwall's inequality for ψ-fractional derivative, the criterion of finite time ...
Qing Yang , Chuanzhi Bai , Dandan Yang
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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 Survey on Recent Results on Lyapunov-Type Inequalities for Fractional Differential Equations

Fractal and Fractional, 2022
This survey paper is concerned with some of the most recent results on Lyapunov-type inequalities for fractional boundary value problems involving a variety of fractional derivative operators and boundary conditions.
Sotiris K. Ntouyas, Bashir Ahmad, Jessada Tariboon   +2 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, M. Manuela Rodrigues, Milton Ferreira   +2 more
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Some novel existence and uniqueness results for the Hilfer fractional integro-differential equations with non-instantaneous impulsive multi-point boundary conditions and their application

AIMS Mathematics, 2023
In this article, we discuss conditions that are sufficient for the existence of solutions for some ψ-Hilfer fractional integro-differential equations with non-instantaneous impulsive multi-point boundary conditions. By applying Krasnoselskii's and Banach'
Thabet Abdeljawad , Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Eman Al-Sarairah, Artion Kashuri , Kamsing Nonlaopon   +5 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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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, Mutum Zico Meetei, Irfan Ahmad, Nesreen Althobaiti, Mohammad A. Safi, Muhammad Altaf Khan, Muhammad Bilal Riaz   +6 more
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A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators

Journal of Inequalities and Applications, 2023
In this paper, we propose a generalized Gronwall inequality in the context of the ψ-Hilfer proportional fractional derivative. Using Picard’s successive approximation and the definition of Mittag–Leffler functions, we construct the representation formula
Weerawat Sudsutad, Chatthai Thaiprayoon, Bounmy Khaminsou, Jehad Alzabut, Jutarat Kongson   +4 more
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Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations

Mathematical Biosciences and Engineering, 2022
In this paper, using the fractional integral with respect to the Ψ function and the Ψ-Hilfer fractional derivative, we consider the Volterra fractional equations.
Zahra Eidinejad, Reza Saadati
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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, Idris Ahmed, Ali Akgul, Fahd Jarad   +3 more
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