Spectral collocation method for nonlinear Riemann–Liouville fractional differential system
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DOI: 10.1007/s10092-021-00403-y
Abstract: The spectral collocation method is investigated for the system of nonlinear Riemann–Liouville fractional differential equations (FDEs). The main idea of the presented method is to solve the corresponding system of nonlinear weakly singular Volterra integral… read more here.
Keywords: system; fractional differential; liouville fractional; riemann liouville ... See more keywords
The right Riemann–Liouville fractional Hermite–Hadamard type inequalities derived from Green’s function
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DOI: 10.1063/1.5143908
Abstract: The purpose of this work is to present the right Riemann–Liouville fractional integral version of Hermite–Hadamard inequality via a relatively new method through the Green’s function approach. In the process, some identities are established. Using… read more here.
Keywords: right riemann; green function; liouville fractional; riemann liouville ... See more keywords
Refinements of bullen-type inequalities for s–convex functions via Riemann-Liouville fractional integrals involving Gauss hypergeometric function
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2019.1698803
Abstract: Abstract In this paper, the author establishes a new identity for differentiable functions and obtain some new inequalities for differentiable functions based on s–convexity via Riemann-Liouville fractional integrals involving Gauss hypergeometric function. read more here.
Keywords: integrals involving; involving gauss; fractional integrals; liouville fractional ... See more keywords
Synchronization for Incommensurate Riemann–Liouville Fractional-Order Time-Delayed Competitive Neural Networks With Different Time Scales and Known or Unknown Parameters1
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4042494
Abstract: Synchronization for incommensurate Riemann–Liouville fractional competitive neural networks (CNN) with different time scales is investigated in this paper. Time delays and unknown parameters are concerned in the model, which is more practical. Two simple and… read more here.
Keywords: liouville fractional; incommensurate riemann; time; synchronization incommensurate ... See more keywords
Some Properties for Solutions of Riemann-Liouville Fractional Differential Systems with a Delay
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DOI: 10.1155/2018/4151089
Abstract: In this paper, we study properties for solutions of Riemann-Liouville (R-L) fractional differential systems with a delay. Some results on integral inequalities are first presented by Ho¨lder inequality. Then we investigate properties on solutions for… read more here.
Keywords: properties solutions; solutions riemann; liouville fractional; fractional differential ... See more keywords
Positive solutions for a system of Riemann-Liouville fractional differential equations with multi-point fractional boundary conditions
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DOI: 10.1186/s13661-017-0833-6
Abstract: We study the existence and nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations subject to multi-point boundary conditions which contain fractional derivatives. read more here.
Keywords: liouville fractional; positive solutions; solutions system; fractional differential ... See more keywords
Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions
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DOI: 10.1186/s13661-019-1222-0
Abstract: In this paper, we introduce and study a new kind of coupled fractional differential system involving right Caputo and left Riemann–Liouville fractional derivatives, supplemented with nonlocal three-point coupled boundary conditions. Existence and uniqueness results for… read more here.
Keywords: left riemann; caputo left; liouville fractional; riemann liouville ... See more keywords
Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
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DOI: 10.1186/s13662-019-2463-z
Abstract: 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 in the new frame of fractional resolvents. Some properties… read more here.
Keywords: solutions riemann; liouville fractional; fractional resolvents; integrodifferential equations ... See more keywords
Generalized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications
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DOI: 10.2298/fil2003751l
Abstract: We establish a Simpson type identity and several Simpson type inequalities for Riemann– Liouville fractional integrals. As applications, we apply the obtained results to special means of real numbers, an error estimate for Simpson type… read more here.
Keywords: riemann liouville; liouville fractional; simpson type; simpson ... See more keywords
Existence Results for Coupled Implicit \({\psi}\)-Riemann-Liouville Fractional Differential Equations with Nonlocal Conditions
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DOI: 10.3390/axioms11030103
Abstract: In this paper, we study the existence and uniqueness of solutions for a coupled implicit system involving ψ-Riemann–Liouville fractional derivative with nonlocal conditions. We first transformed the coupled implicit problem into an integral system and… read more here.
Keywords: liouville fractional; nonlocal conditions; coupled implicit; existence results ... See more keywords
On Special Fuzzy Differential Subordinations Obtained for Riemann-Liouville Fractional Integral of Ruscheweyh and Sălăgean Operators
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DOI: 10.3390/axioms11090428
Abstract: New results concerning fuzzy differential subordination theory are obtained in this paper using the operator denoted by Dz−λLαn, previously introduced by applying the Riemann–Liouville fractional integral to the convex combination of well-known Ruscheweyh and Sălăgean… read more here.
Keywords: fractional integral; fuzzy differential; liouville fractional; ruscheweyh gean ... See more keywords