Results 71 to 80 of about 1,241 (197)

Stability for Caputo–Hadamard Fractional Uncertain Differential Equation

Fractal and Fractional
This paper focuses on the Caputo-Hadamard fractional uncertain differential equations (CH-FUDEs) governed by Liu processes, which combine the Caputo–Hadamard fractional derivative with uncertain differential equations to describe dynamic systems ...
Shida Peng, Zhi Li, Jun Zhang, Yuncong Zhu, Liping Xu   +4 more
doaj   +1 more source

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

Proyecciones (Antofagasta), 2020
We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions. Many new results of existence and uniqueness are obtained with the use of fixed point theorems for single-valued maps. With the help of examples, the results are well illustrated.
Subramanian Muthaiah, Thangaraj Nandha Gopal   +1 more
openaire   +2 more sources

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous, Waqas Nazeer, Waqar Afzal, Joshua Kiddy K. Asamoah, Hadeel AlQadi, Pramita Mishra   +5 more
wiley   +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

Upper and lower solutions method for Caputo-Hadamard fractional differential inclusions [PDF]

Mathematica Moravica, 2019
In this paper, we use some background concerning multivalued functions and set-valued analysis, the fixed point theorem of Bohnenblust-Karlin and the method of upper and lower solutions to investigate the existence of solutions for a class of boundary ...
Abbas Saïd, Benchohra Mouffak, Hamani Samira, Henderson Johnny   +3 more
doaj  

On numerical techniques for solving the fractional logistic differential equation

Advances in Difference Equations, 2019
This paper studied the existence and uniqueness of the solution of the fractional logistic differential equation using Hadamard derivative and integral. Previous work has shown that there is not an exact solution to this fractional model.
Yves Yannick Yameni Noupoue, Yücel Tandoğdu, Muath Awadalla   +2 more
doaj   +1 more source

Inverse Problems of Determining Sources of the Fractional Partial Differential Equations

, 2019
In this chapter, we mainly review theoretical results on inverse source problems for diffusion equations with the Caputo time-fractional derivatives of order $\alpha\in(0,1)$. Our survey covers the following types of inverse problems: 1. determination of
Li, Zhiyuan, Liu, Yikan, Yamamoto, Masahiro   +2 more
core   +1 more source

Green’s Function Approach to Hermite–Hadamard–Mercer Type Fractional Inequalities and Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The Hermite–Hadamard–Mercer (HHM) inequality, existing in two well‐established forms, plays a fundamental role in mathematical analysis. This inequality is characterized by three distinct components—namely, the left, middle, and right terms. This study is concerned to obtain novel generalized and refined HHM fractional inequalities by employing for the
Muhammad Zafran, Muhammad Adil Khan, Tahir Ullah Khan, Božidar Ivanković, Z. M. M. M. Sayed, Mohamed Sharaf, Francisco J. Garcia-Pacheco   +6 more
wiley   +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

Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator

International Journal of Differential Equations, 2019
Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases.
Qinwu Xu, Zhoushun Zheng
doaj   +1 more source