The Solutions of Some Riemann–Liouville Fractional Integral Equations
Fractal and Fractional, 2021 In this paper, we propose the solutions of nonhomogeneous fractional integral equations of the form I0+3σy(t)+a·I0+2σy(t)+b·I0+σy(t)+c·y(t)=f(t), where I0+σ is the Riemann–Liouville fractional integral of order σ=1/3,1,f(t)=tn,tnet,n∈N∪{0},t∈R+, and a,b ...
Karuna Kaewnimit +3 more
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On New Inequalities via Riemann-Liouville Fractional Integration [PDF]
Abstract and Applied Analysis, 2012 We extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities.
Mehmet Zeki Sarikaya, Hasan Ogunmez
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Some New Riemann-Liouville Fractional Integral Inequalities [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 Jessada Tariboon, Sotiris K. Ntouyas, andWeerawat Sudsutad 1 Department of Mathematics, Faculty of Applied Science, KingMongkut’s University of Technology North Bangkok, Bangkok,Thailand 2Department of Mathematics, University of Ioannina, 451 10 Ioannina,
J. Tariboon, S. Ntouyas, W. Sudsutad
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On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals [PDF]
Miskolc Mathematical Notes, 2016 YILDIRIM, Huseyin/0000-0001-8855-9260WOS: 000396217100029In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity.
Sarikaya, Mehmet Zeki +1 more
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On some generalisations of the Riemann-Liouville and Weyl fractional integrals and their applications [PDF]
Glasgow Mathematical Journal, 1981 1. For functions f ∈ LLoc[0, ∞) the Riemann-Liouville operator of fractional integration I∞ is defined byand its adjoint operator, the Weyl operator Kα, is defined byfor functions f ∈ LLoc[0, ∞) having a suitable behaviour at infinity.
J. S. Lowndes
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Some generalized Riemann-Liouville k-fractional integral inequalities [PDF]
Journal of Inequalities and Applications, 2016 The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator.
Praveen Agarwal +2 more
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Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral [PDF]
Journal of Mathematics, 2014 We present Montgomery identity for Riemann-Liouville fractional integral as well as for fractional integral of a function with respect to another function .
A. A. Aljinović
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Weighted inequalities for Riemann-Liouville fractional integrals of order one and greater [PDF]
Proceedings of the American Mathematical Society, 1989 A simple characterization is given for two-weight norm inequalities for generalized Hardy operators T φ f ( x ) = ∫ 0 x φ ( t x ) f ( t
F. J. Martín-Reyes, Eric T. Sawyer
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Well-posedness of the initial-boundary value problems for the time-fractional degenerate diffusion equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper deals with the solving of initial-boundary value problems for the one-dimensional linear timefractional diffusion equations with time-degenerate diffusive coefficients tβ with β>1-α.
A.G. Smadiyeva
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Journal of Function Spaces, 2022 Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson-type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expect that present
Jamshed Nasir +4 more
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