Results 41 to 50 of about 2,984 (190)

Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α ∈ (1, 2] With Deviating Argument

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan, Ravikumar Kasinathan, Ramkumar Kasinathan, Karthikeyan Shanmugasundaram, Dimplekumar Chalishajar, Theodore Simos   +5 more
wiley   +1 more source

Existence of mild solutions of second‐order neutral functional differential inclusions with nonlocal conditions in Banach spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1133-1149, 2004., 2004
We study the existence of mild solutions of the nonlinear second‐order neutral functional differential and integrodifferential inclusions with nonlocal conditions in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of bounded linear operators and a fixed point theorem for condensing maps due to Martelli.
S. Marshal Anthoni, J.-H. Kim, J. P. Dauer   +2 more
wiley   +1 more source

Existence and stability of impulsive coupled system of fractional integrodifferential equations

Demonstratio Mathematica, 2019
In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and ...
Zada Akbar, Waheed Hira, Alzabut Jehad, Wang Xiaoming   +3 more
doaj   +1 more source

On Multidimensional Analogue of Marchaud Formula for Fractional Riesz-Type Derivatives in Domains in R^n [PDF]

, 2005
2000 Mathematics Subject Classification: 26A33, 42B20There is given a generalization of the Marchaud formula for one-dimensional fractional derivatives on an interval (a, b), −∞ < a < b ≤ ∞, to the multidimensional case of functions defined on a region ...
Rafeiro, Humberto, Samko, Stefan
core  

Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives [PDF]

, 2005
The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied.
Baleanu D, Baleanu D, Baleanu D Mehaute A Le Tenreiro Machado J A Trigeassou J C Sabatier J, Dumitru Baleanu, Eqab Rabei, Miller K S, Oldham K B, Podlubny I, Rabei E, Rabei E M Nawafleh K I Hijjawi R S Muslih S I Baleanu D, Raspini A, Raspini A, Sami I Muslih, Samko S G, Tenreiro Machado J A, Tenreiro Machado J A   +15 more
core   +2 more sources

Analytical Solution of Fractional Order Mathematical Model in the Time of COVID-19 by Fractional Differential Transform Method

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
In this paper, we will discuss an analytical solution and numerical simulation of fractional order mathematical model on COVID-19 under Caputo sense with the help of fractional differential transform method for different values of q, where q ∈ (0,1]. The
A. D. Nagargoje, R. Teppawar
semanticscholar   +1 more source

On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals

, 2017
In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
semanticscholar   +1 more source

A Fractional‐Order Peer Influence Mathematical Model

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this article, a fractional‐order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively behaved friends.
Patience Pokuaa Gambrah, Abdul-Samad Abdul-Rahaman, Gratien Twagirumukiza, Herman Matondo Mananga, Louis Ndinyun Tawam, Arpan Hazra   +5 more
wiley   +1 more source

Lyapunov stability solutions of fractional integrodifferential equations

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 47, Page 2503-2507, 2004., 2004
Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations x(α)(t)=f(t,x(t))+∫t0tk(t,s,x(s))ds, 0 < α ≤ 1, with the initial condition x(α−1)(t0) = x0, have been investigated. Our methods are applications of Gronwall′s lemma and Schwartz inequality.
Shaher Momani, Samir Hadid
wiley   +1 more source

On Integral Means for Fractional Calculus Operators of Multivalent Functions [PDF]

, 2006
2000 Mathematics Subject Classification: Primary 30C45, Secondary 26A33, 30C80Integral means inequalities are obtained for the fractional derivatives and the fractional integrals of multivalent functions.
Owa, Shigeyoshi, Sümer Eker, S., Özlem Güney, H.   +2 more
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