Stability and Numerical Simulation of a Nonlinear Hadamard Fractional Coupling Laplacian System with Symmetric Periodic Boundary Conditions
X Lv, K Zhao, H Xie - Symmetry, 2024 - mdpi.com
The Hadamard fractional derivative and integral are important parts of fractional calculus
which have been widely used in engineering, biology, neural networks, control theory, and …
which have been widely used in engineering, biology, neural networks, control theory, and …
A Comprehensive Study on Existence theory and Ulam's stabilities of Impulsive Fractional Langevin Equation
In this paper, a class of impulsive fractional Langevin equation is considered and proceeds
to derive a solution formula for this equation, incorporating Mittag-Leffler functions. The …
to derive a solution formula for this equation, incorporating Mittag-Leffler functions. The …
On the Bielecki–Hyers–Ulam Stability of Non–linear Impulsive Fractional Hammerstein and Mixed Integro–dynamic Systems on Time Scales
SO Shah - Qualitative Theory of Dynamical Systems, 2024 - Springer
This article is about the examination of existence as well as uniqueness of solutions,
Bielecki–Hyers–Ulam stability and Bielecki–Hyers–Ulam–Rassias stability of non–linear …
Bielecki–Hyers–Ulam stability and Bielecki–Hyers–Ulam–Rassias stability of non–linear …
Well-Posedness of a Class of Fractional Langevin Equations
M Zhou, L Zhang - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this work, we deal with a more general form of fractional Langevin equation. The
equation's nonlinearity term f is relevant to fractional integral and fractional derivative. By …
equation's nonlinearity term f is relevant to fractional integral and fractional derivative. By …
[HTML][HTML] Stability and controllability analysis of fractional integro-delay differential equation via delayed perturbation
G Jothilakshmi, BS Vadivoo - Franklin Open, 2024 - Elsevier
This paper deals with stability and controllability analysis of the system governed by
fractional integro delay differential equations. By establishing Finite time stability and Ulam …
fractional integro delay differential equations. By establishing Finite time stability and Ulam …
Existence theory and Ulam's stabilities for switched coupled system of implicit impulsive fractional order Langevin equations
In this work, a system of nonlinear, switched, coupled, implicit, impulsive Langevin equations
with two Hilfer fractional derivatives is introduced. The suitable conditions and results are …
with two Hilfer fractional derivatives is introduced. The suitable conditions and results are …
[PDF][PDF] Franklin Open
G Jothilakshmi, BS Vadivoo - researchgate.net
This paper deals with stability and controllability analysis of the system governed by
fractional integro delay differential equations. By establishing Finite time stability and Ulam …
fractional integro delay differential equations. By establishing Finite time stability and Ulam …