Results 61 to 70 of about 974 (111)

Investigation on the Controllability of Semilinear Integrodifferential Fractional Stochastic Control System in Conformable Sense With Impulses

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Controllability concepts have been essential across various disciplines, including control theory, engineering, and applied mathematics. According to Kalman’s definition, controllability points to the capacity to move a control system’s solution from any initial state to a desired state by a predetermined terminal time.
Maher Jneid, Guotao Wang
wiley   +1 more source

Existence and stability results for nonlinear fractional integrodifferential coupled systems

Boundary Value Problems, 2023
In this paper, a class of nonlinear ψ-Hilfer fractional integrodifferential coupled systems on a bounded domain is investigated. The existence and uniqueness results for the coupled systems are proved based on the contraction mapping principle. Moreover,
Jue-liang Zhou, Yu-bo He, Shu-qin Zhang, Hai-yun Deng, Xiao-yan Lin   +4 more
doaj   +1 more source

On the fractional Laplacian of a function with respect to another function

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14079-14110, December 2024.
The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function. The theory is developed both in the 1‐dimensional setting and in the general n$$ n $$‐dimensional setting.
Arran Fernandez, Joel E. Restrepo, Jean‐Daniel Djida   +2 more
wiley   +1 more source

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan, Kamal Shah, Dumitru Baleanu, K. Kanagarajan   +3 more
doaj   +1 more source

Existence and optimal control results for Caputo fractional delay Clark's subdifferential inclusions of order r∈(1,2) with sectorial operators

Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.
The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja, Velusamy Vijayakumar, Kalyana Chakravarthy Veluvolu, Anurag Shukla, Kottakkaran Sooppy Nisar   +4 more
wiley   +1 more source

Study of Hybrid Problems under Exponential Type Fractional‐Order Derivatives

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this investigation, we develop a theory for the hybrid boundary value problem for fractional differential equations subject to three‐point boundary conditions, including the antiperiodic hybrid boundary condition. On suggested problems, the third‐order Caputo–Fabrizio derivative is the fractional operator applied.
Mohammed S. Abdo, Sahar Ahmed Idris, M. Daher Albalwi, Tomadir Ahmed Idris, Ming-Sheng Liu   +4 more
wiley   +1 more source

Exploring the Dynamics of Fractional q‐Integro‐Differential Equations with Infinite Time Delays: A Study in Mathematical Analysis

Journal of Mathematics, Volume 2024, Issue 1, 2024.
A novel equation that combines fractional calculus and integral operations is investigated in this study. The unique properties of the equation and its potential applications to various real‐world phenomena have not been previously explored. The existence and uniqueness of a solution to this equation are the primary objectives of this research.
Shami A. M. Alsallami, K. R. Raslan, E. M. Khalil, S. Abdel-Khalek, Amira Abd-Elall Ibrahim, Khalid K. Ali, Ji Gao   +6 more
wiley   +1 more source

Existence Results of Random Impulsive Integrodifferential Inclusions with Time‐Varying Delays

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
This study examines the existence of mild solutions for nonlinear random impulsive integrodifferential inclusions with time‐varying delays under sufficient conditions. Our study is based on the Martelli fixed point theorem, Pachpatte’s inequality, and the fixed point theorem due to Covitz and Nadler.
Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy, Feliz Minhos   +3 more
wiley   +1 more source

Problem Involving the Riemann–Liouville Derivative and Implicit Variable‐Order Nonlinear Fractional Differential Equations

Complexity, Volume 2024, Issue 1, 2024.
The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann–Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existence of solutions, is related to the symmetry of a ...
Zoubida Bouazza, Mohammed Said Souid, Hatıra Günerhan, Ali Shokri, Eulalia Mart nez   +4 more
wiley   +1 more source

A New Laplace-Type Transform on Weighted Spaces with Applications to Hybrid Fractional Cauchy Problems

Fractal and Fractional
This paper develops a generalized Laplace transform theory within weighted function spaces tailored for the analysis of fractional differential equations involving the ψ-Hilfer derivative.
Samten Choden, Jakgrit Sompong, Ekkarath Thailert, Sotiris K. Ntouyas   +3 more
doaj   +1 more source