Results 121 to 130 of about 1,624,926 (272)

On the Equivalence of the Riemann-Liouville and the Caputo Fractional Order Derivatives in Modeling of Linear Viscoelastic Materials [PDF]

, 2007
Mathematics Subject Classification: 26A33In the process of constructing empirical mathematical models of physical phenomena using the fractional calculus, investigators are usually faced with the choice of which definition of the fractional derivative to
Bagley, Ron
core  

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

Weighted fractional Iyengar type inequalities in the Caputo direction

, 2019
Here we present weighted fractional Iyengar type inequalities with respect to Lp norms, with 1 ≤ p ≤ ∞. Our employed fractional calculus is of Caputo type defined with respect to another function.
Anastassiou, George A., George A. Anastassiou   +1 more
core   +1 more source

Composition of Fractional Integral and Derivative Operators: Summarised in Tables

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley   +1 more source

Generalized fractional modeling of the Jaulent-Miodek system using the ϕ-Caputo operator with semi-analytical solutions

Boundary Value Problems
In this paper, we consider the fractional-order Jaulent-Miodek (JM) model within the framework of ϕ-Caputo fractional derivative operator which generalizes classical model by taking into accounts nonlocal and memory-related effects.
Azzh Saad Alshehry, Rasool Shah, Aishah Abdullah Alshehri   +2 more
doaj   +1 more source

State-Space Approach to the Time-Fractional Maxwell’s Equations under Caputo Fractional Derivative of an Electromagnetic Half-Space under Four Different Thermoelastic Theorems

Fractal and Fractional
This paper introduces a new mathematical modelling method of a thermoelastic and electromagnetic half-space in the context of four different thermoelastic theorems: Green–Naghdi type-I, and type-III; Lord–Shulman; and Moore–Gibson–Thompson.
Eman A. N. Al-Lehaibi, H. Youssef
semanticscholar   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

The Influence of the Caputo Fractional Derivative on Time-Fractional Maxwell’s Equations of an Electromagnetic Infinite Body with a Cylindrical Cavity Under Four Different Thermoelastic Theorems

Mathematics
This paper introduces a new mathematical modeling of a thermoelastic and electromagnetic infinite body with a cylindrical cavity in the context of four different thermoelastic theorems; Green–Naghdi type-I, type-III, Lord–Shulman, and Moore–Gibson ...
Eman A. N. Al-Lehaibi, Hamd M. Youssef
semanticscholar   +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

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