Results 41 to 50 of about 1,380 (204)

Correlated fractional counting processes on a finite time interval [PDF]

, 2014
We present some correlated fractional counting processes on a finite time interval. This will be done by considering a slight generalization of the processes in Borges et al. (2012).
Beghin, Luisa, Garra, Roberto, Macci, Claudio   +2 more
core   +1 more source

Numerical Investigation of Fractional Third‐Order Differential Equation Using Quartic B‐Spline Functions

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
Fractional calculus (FC) has become more popular during the past four decades due to its extensive applications in mathematics, physics, engineering, and statistics. B‐spline functions offer flexible and incredibly precise approximations because of their piecewise polynomial structure and smoothness at knots.
Syeda Alishba Batool, Muhammad Abbas, Madiha Shafiq, Y. S. Hamed, Asnake Birhanu, Ivan Giorgio   +5 more
wiley   +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  

Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise‐Modified Fractional‐Order Derivative

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman, Refka Ghodhbani, Mehmet Yavuz, Saira Tabassum, Deepali   +4 more
wiley   +1 more source

Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives

Journal of Inequalities and Applications
This article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of
Muhammad Imran, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source

Existence Results for the Solution of the Hybrid Caputo–Hadamard Fractional Differential Problems Using Dhage’s Approach

Fractal and Fractional, 2021
In this work, we explore the existence results for the hybrid Caputo–Hadamard fractional boundary value problem (CH-FBVP). The inclusion version of the proposed BVP with a three-point hybrid Caputo–Hadamard terminal conditions is also considered and the ...
Muhammad Yaseen, Sadia Mumtaz, Reny George, Azhar Hussain   +3 more
doaj   +1 more source

Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa, Safa M. Mirgani, Khaled Zennir, Keltoum Bouhali, Jagan Mohan Jonnalagadda   +4 more
wiley   +1 more source

Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj  

Physics‐Aware Observer Design for Modern Dynamical Systems: Algorithms, Fault Detection, and Practical Applications

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper proposes a comprehensive and physics aware unified framework for observer design in modern dynamical systems, explicitly accounting for physical and engineering constraints such as actuator dynamics, state coupling, modeling uncertainties, and measurement noise.
Salah Boulaaras, Asma Alharbi, Zuo Da-Wei   +2 more
wiley   +1 more source

Recovering the space source term for the fractional-diffusion equation with Caputo–Fabrizio derivative

Journal of Inequalities and Applications, 2021
This article is devoted to the study of the source function for the Caputo–Fabrizio time fractional diffusion equation. This new definition of the fractional derivative has no singularity. In other words, the new derivative has a smooth kernel.
Le Nhat Huynh, Nguyen Hoang Luc, Dumitru Baleanu, Le Dinh Long   +3 more
doaj   +1 more source