Results 71 to 80 of about 397,746 (163)

An Approach for Numerical Solutions of Caputo–Hadamard Uncertain Fractional Differential Equations

, 2022
This paper is devoted to investigating a numerical scheme for solving the Caputo–Hadamard uncertain fractional differential equations (UFDEs) arising from nonlinear uncertain dynamic systems.
Yiyu Liu, Yuanguo Zhu, Hanjie Liu
core   +1 more source

Observer Design for Fractional-Order Polynomial Fuzzy Systems Depending on a Parameter

Fractal and Fractional
For fractional-order systems, observer design is remarkable for the estimation of unavailable states from measurable outputs. In addition, the nonlinear dynamics and the presence of parameters that can vary over different operating conditions or time ...
Hamdi Gassara, Mohamed Rhaima, Lassaad Mchiri, Abdellatif Ben Makhlouf   +3 more
doaj   +1 more source

Solvability of Tripled Langevin Fractional Differential Systems Involving ψ‐Caputo Derivatives Using Fixed Point Techniques

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This work is devoted to the study of a nonlinear tripled system of Langevin‐type fractional differential equations involving generalized ψ‐Caputo derivatives in the setting of Banach spaces. The proposed framework extends several existing results from finite‐dimensional and specialized functional spaces to more general infinite‐dimensional environments.
Hasanen A. Hammad, Manal Elzain Mohamed Abdalla, Bilal Bilalov   +2 more
wiley   +1 more source

A Gronwall inequality for a general Caputo fractional operator

, 2017
In this paper we present a new type of fractional operator, which is a generalization of the Caputo and Caputo–Hadamard fractional derivative operators.
Almeida, Ricardo, Ricardo Almeida
core   +1 more source

Separated Boundary Value Problems of Sequential Caputo and Hadamard Fractional Differential Equations

, 2018
In this paper, we discuss the existence and uniqueness of solutions for new classes of separated boundary value problems of Caputo-Hadamard and Hadamard-Caputo sequential fractional differential equations by using standard fixed point theorems.
Jessada Tariboon, Woraphak Nithiarayaphaks, Sotiris K. Ntouyas, Asawathep Cuntavepanit   +3 more
core   +1 more source

Analysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative

, 2020
We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions.
Muthaiah, Subramanian, Gopal, Thangaraj Nandha   +1 more
core   +1 more source

Numerical approach to the Caputo derivative of the unknown function

, 2013
If a function can be explicitly expressed, then one can easily compute its Caputo derivative by the known methods. If a function cannot be explicitly expressed but it satisfies a differential equation, how to seek Caputo derivative of such a function has
Li, C., Zeng, F., Li Changpin, Zeng Fanhai   +3 more
core   +1 more source

Existence Results of Langevin Equations with Caputo–Hadamard Fractional Operator

, 2023
In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo–Hadamard and Caputo fractional operators, with nonperiodic and nonlocal integral boundary conditions.
Aziz Khan, Manar A. Alqudah, Thabet Abdeljawad, Sombir Dhaniya, Anoop Kumar   +4 more
core   +1 more source

An analogue of Leibniz’s rule for Hadamard derivatives and their application

Қарағанды университетінің хабаршысы. Математика сериясы
This paper explores new analogues of the Leibniz rule for Hadamard and Caputo–Hadamard fractional derivatives. Unlike classical derivatives, fractional ones have a strong nonlocal character, meaning that the value of the derivative at a given point ...
A.G. Smadiyeva
doaj   +1 more source

A numerical framework based on piecewise Chebyshev cardinal functions for fractional integro-differential equations

Results in Applied Mathematics
In this study, we develop an operational matrix technique to address a set of fractional nonlinear integro-differential equations with the Caputo–Hadamard derivative. We utilize a family of the piecewise Chebyshev cardinal functions as basis functions in
S. Mansoori Aref, M.H. Heydari, M. Bayram   +2 more
doaj   +1 more source