Results 91 to 100 of about 9,528 (243)
Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
Advances in Difference Equations, 2019 This paper is concerned with the semilinear fractional integrodifferential system with Riemann–Liouville fractional derivative. Firstly, we introduce the suitable C1−α $C_{1-\alpha }$-solution to Riemann–Liouville fractional integrodifferential equations
Shaochun Ji, Dandan Yang
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Numerical Methods for Partial Differential Equations, 2018 In the last decade, theoretical and applied studies were done in order to provide a suitable definition of fractional derivative, which meets all the requirement of a derivative in its primary sense. It was concluded by some eminent researchers that the Riemann‐Liouville version was the most suitable. However, many numerical approximation of fractional
A. Atangana, J. F. Gómez‐Aguilar
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Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12587-12607, August 2025.ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan +3 more
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Fractional-order boundary value problem with Sturm-Liouville boundary conditions
Electronic Journal of Differential Equations, 2015 Using the new conformable fractional derivative, which differs from the Riemann-Liouville and Caputo fractional derivatives, we reformulate the second-order conjugate boundary value problem in this new setting.
Douglas R. Anderson, Richard I. Avery
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Journal of Function Spaces, 2020 In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in ...
Feng Gao, Chunmei Chi
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A multiplicity results for a singular problem involving a Riemann-Liouville fractional derivative
, 2018 In this work, we investigate the following nonlinear singular problem with Riemann-Liouville Fractional Derivative (Pλ) −tD1 ( |0Dt (u(t))|p−2 0Dt u(t) ) = 1(t) uγ(t) + λ f (t,u(t)) t ∈ (0,T); u(0) = u(T) = 0, where λ is a positive parameter, p >
A. Ghanmi, M. Kratou, K. Saoudi
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On the Fractional Inequalities of the Milne Type
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10833-10840, 30 July 2025.ABSTRACT Our investigations in this paper revolve around exploring fractional variants of inequalities of Milne type by applying twice differentiable convex mappings. Based on some principles of convexity, Hölder inequality, and power‐mean inequality, novel inequalities are derived.
Hüseyin Budak +2 more
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, 2015 In recent years, theory of differential equations with fractional derivatives has attracted considerable interest. This is primarily due to the application of this theory to new models of physical processes. However the theory has been developed for some
D. Orlovsky +1 more
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A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
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A New Gronwall–Bellman Inequality in Frame of Generalized Proportional Fractional Derivative
Mathematics, 2019 New versions of a Gronwall−Bellman inequality in the frame of the generalized (Riemann−Liouville and Caputo) proportional fractional derivative are provided.
Jehad Alzabut +3 more
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