Results 41 to 50 of about 2,452 (143)

Fractional virus epidemic model on financial networks

Open Mathematics, 2016
In this study, we present an epidemic model that characterizes the behavior of a financial network of globally operating stock markets. Since the long time series have a global memory effect, we represent our model by using the fractional calculus.
Balci Mehmet Ali
doaj   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source

Linear Fractional PDE, Uniqueness of Global Solutions [PDF]

, 2005
Mathematics Subject Classification: 26A33, 47A60, 30C15.In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations.
Kempfle, Siegmar, Nolte, Bodo, Schäfer, Ingo   +2 more
core  

Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives

, 2011
In this work we study a generalized nonlocal thermistor problem with fractional-order Riemann-Liouville derivative. Making use of fixed-point theory, we obtain existence and uniqueness of a positive solution.Comment: Submitted 17-Jul-2011; revised 09-Oct-
Ammi, Moulay Rchid Sidi, Torres, Delfim F. M.   +1 more
core   +1 more source

Application of (q, τ)‐Bernoulli Interpolation to the Spectral Solution of Quantum Differential Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani, Rabha W. Ibrahim, Khalil Ezzinbi   +2 more
wiley   +1 more source

Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain

Open Mathematics, 2017
In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon, Ntouyas Sotiris K., Asawasamrit Suphawat, Promsakon Chanon   +3 more
doaj   +1 more source

Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation

Nonlinear Engineering, 2023
In this study, the Caputo-type fractional time-derivative is simulated by inserting a proportional time-delay into the field function of the perturbed-KdV equation.
Alquran Marwan, Ali Mohammed, Al-Khaled Kamel, Grossman George   +3 more
doaj   +1 more source

Existence Results for Fractional Functional Differential Inclusions with Infinite Delay and Applications to Control Theory [PDF]

, 2008
Mathematics Subject Classification: 26A33, 34A60, 34K40, 93B05In this paper we investigate the existence of solutions for fractional functional differential inclusions with infinite delay. In the last section we present an application of our main results
Benchohra, M., Henderson, J., Ntouyas, S. K., Ouahab, A.   +3 more
core  

An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper investigates the Fuzzy Adomian Decomposition Method to find approximate analytical solutions for linear and nonlinear fuzzy Darboux problems using the Caputo‐type mixed fractional derivative, which plays an important role in applied and engineering sciences. The solutions are formulated as series with easily calculable terms.
Nagwa A. Saeed, Deepak B. Pachpatte, Elena Kaikina   +2 more
wiley   +1 more source

Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions

Boundary Value Problems, 2011
This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
Ahmad Bashir, Nieto Juan
doaj