Results 81 to 90 of about 3,215 (223)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Finite‐time consensus for variable‐order fractional non‐linear multi‐agent systems under actuator faults and external disturbances

IET Control Theory & Applications
The present investigation aims to address the leader‐following consensus issue for variable‐order fractional multi‐agent systems (VOFMASs) under actuator faults and unknown external disturbances.
Ehsan Nazemorroaya, Mohsen Shafieirad, Mahnaz Hashemi   +2 more
doaj   +1 more source

On the Theory of Fractional Calculus in the Pettis-Function Spaces

Journal of Function Spaces, 2018
Throughout this paper, we outline some aspects of fractional calculus in Banach spaces. Some examples are demonstrated. In our investigations, the integrals and the derivatives are understood as Pettis integrals and the corresponding derivatives.
Hussein A. H. Salem
doaj   +1 more source

Viscoelastic Modeling of Stress Relaxation in Model High‐Performance Covalent Adaptable Networks

Journal of Polymer Science, EarlyView.
Covalent adaptable networks, often referred to as vitrimers, contain a certain fraction of bonds that are able to exchange with other bonds. The ability of this bond exchange to relax stress or result in flow of the material depends on the concentration and specific concentration of these bonds in ways that can be quantified.
Broderick Lewis, Benjamin R. Hafner, Cheol Park, Joseph M. Dennis, Kenneth R. Shull   +4 more
wiley   +1 more source

Sliding Mode Control in Aerospace Applications: A Survey

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source

A Mathematical Model Analysis of COVID-19 Transmission with Vaccination in Caputo Fractional Derivatives: Case Study in Indonesia

JTAM (Jurnal Teori dan Aplikasi Matematika)
This study aims to investigate a fractional-order mathematical model of COVID-19 transmission using the Caputo derivative definition which suitable to epidemiological cases by its advantage to explain memory effects.
Muhammad Rifki Nisardi, Kasbawati Kasbawati, Khaeruddin Khaeruddin   +2 more
doaj   +1 more source

Embedding Sustainability Commitments in the Strategic Plans of European Higher Education Institutions

Sustainable Development, EarlyView.
ABSTRACT This study analyses how European universities embed the Sustainable Development Goals (SDGs) into their strategic planning, proposing an integrative and multistakeholder measurement tool—Strategizer Scoring System (SDG‐3S). The research combines the Delphi method, content analysis of 198 strategic plans from universities in 33 European ...
Sandra Barrio Campo, Sara Urionabarrenetxea, Leire San‐Jose   +2 more
wiley   +1 more source

A mathematical analysis of human papilloma virus (HPV) disease with new perspectives of fractional calculus

Alexandria Engineering Journal
The human papilloma virus (HPV) presents a significant global public health challenge, especially in regions with limited access to healthcare and preventive measures.
Thabet Abdeljawad, Nadeem Khan, Bahaaeldin Abdalla, Asma Al-Jaser, Manar Alqudah, Kamal Shah   +5 more
doaj   +1 more source