Results 31 to 40 of about 2,390 (148)
On some properties of the conformable fractional derivative
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A.
Azennar Radouane, Mentagui Driss
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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 +2 more
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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
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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. +3 more
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Fractional Fokker-Planck-Kolmogorov type Equations and their Associated Stochastic Differential Equations [PDF]
, 2011 MSC 2010: 26A33, 35R11, 35R60, 35Q84, 60H10 Dedicated to 80-th anniversary of Professor Rudolf GorenfloThere is a well-known relationship between the Itô stochastic differential equations (SDEs) and the associated partial differential equations called ...
Hahn, Marjorie, Umarov, Sabir
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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 +2 more
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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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Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem
Advances in Nonlinear Analysis, 2022 In this article, we consider the fractional Rayleigh-Stokes problem with the nonlinearity term satisfies certain critical conditions. The local existence, uniqueness and continuous dependence upon the initial data of ε\varepsilon -regular mild solutions ...
Wang Jing Na +3 more
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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 +2 more
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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
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