Results 31 to 40 of about 2,984 (190)
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
Nonlinear Engineering, 2022 In the present article, we geometrically and analytically examine the mutual impact of space-time Caputo derivatives embedded in (1 + 2)-physical models.
Makhadmih Mohammad +3 more
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Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]
, 2012 MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani +4 more
wiley +1 more source
Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Journal of Function Spaces, Volume 4, Issue 2, Page 113-144, 2006., 2006 Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that the exponent satisfies natural regularity conditions. As a consequence of this characterization, we
Alexandre Almeida +2 more
wiley +1 more source
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 +3 more
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On the Generalized Confluent Hypergeometric Function and Its Application [PDF]
, 2006 2000 Mathematics Subject Classification: 26A33, 33C20This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra ...
Virchenko, Nina
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique ...
A. M. A. El-Sayed +4 more
wiley +1 more source
Some analytical properties of solutions of differential equations of noninteger order
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 13, Page 697-701, 2004., 2004 The analytical properties of solutions of the nonlinear differential equations x(α)(t) = f(t, x), α ∈ ℝ, 0 < α ≤ 1 of noninteger order have been investigated. We obtained two results concerning the frame curves of solutions. Moreover, we proved a result on differential inequality with fractional derivatives.
S. M. Momani, S. B. Hadid, Z. M. Alawenh
wiley +1 more source
Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay [PDF]
, 2010 MSC 2010: 26A33, 34A37, 34K37, 34K40, 35R11This paper deals with the existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with fixed time impulses and state-dependent delay involving the Caputo ...
Abbas, Saïd, Benchohra, Mouffak
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