, 2016 In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the ...
S. Ntouyas, P. Agarwal, J. Tariboon
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On a space discretization scheme for the Fractional Stochastic Heat Equations [PDF]
arXiv, 2011 In this work, we introduce a new discretization to the fractional Laplacian and use it to elaborate an approximation scheme for fractional heat equations perturbed by a multiplicative cylindrical white noise. In particular, we estimate the rate of convergence.
arxiv
A Simplification in the proof presented for non existence of periodic solutions in time invariant fractional order systems [PDF]
arXiv, 2012 In this note, a short-cut is proposed to shorten the proof which has been previously presented for non existence of periodic solutions in time invariant fractional order systems.
arxiv
On generalization of different type inequalities for some convex functions via fractional integrals [PDF]
arXiv, 2012 New identity for fractional integrals have been defined. By using of this identity, we obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for s-convex, quasi-convex, m-convex functions via Riemann Liouville fractional integral.
arxiv
Using Shehu integral transform to solve fractional order Caputo type initial value problems
Journal of Applied Mathematics and Computational Mechanics, 2019 In the present research analysis, linear fractional order ordinary differential equations with some defined condition (s) have been solved under the Caputo differential operator having order α > 0 via the Shehu integral transform technique.
S. Qureshi, Prem Kumar
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Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
Open Mathematics, 2020 The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng +2 more
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Generalization of different type integral inequalities for s-convex functions via fractional integrals [PDF]
arXiv, 2013 In this paper, a general integral identity for twice differentiable functions is derived. By using of this identity, the author establish some new estimates on Hermite-Hadamard type and Simpson type inequalities for s-convex via Riemann Liouville fractional integral.
arxiv
Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals [PDF]
arXiv, 2013 In this paper, the author established Hermite-Hadamard's inequalities for harmonically convex functions via fractional integrals and obtained some Hermite-Hadamard type inequalities of these classes of functions.
arxiv
Advanced Nonlinear Studies, 2019 This paper is concerned with the existence of a heteroclinic solution for the following class of elliptic equations:
Alves Claudianor O.
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On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals [PDF]
arXiv, 2014 In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.
arxiv