Results 21 to 30 of about 750 (182)
Riemann Liouville integrals of fractional order and extended KP hierarchy [PDF]
Journal of Physics A: Mathematical and General, 2002 An attempt is given to formulate the extensions of the KP hierarchy by introducing fractional order pseudo-differential operators. In the case of the extension with the half-order pseudo-differential operators, a system analogous to the supersymmetric extensions of the KP hierarchy is obtained.
Kamata, Masaru, Nakamula, Atsushi
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Axioms, 2023 The primary intent of this study is to establish some important inequalities of the Hermite–Hadamard, trapezoid, and midpoint types under fractional extended Riemann–Liouville integrals (FERLIs).
Abd-Allah Hyder +2 more
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Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions
Fractal and Fractional, 2022 In this paper, we prove some new Newton’s type inequalities for differentiable convex functions through the well-known Riemann–Liouville fractional integrals.
Thanin Sitthiwirattham +3 more
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Compactness of Riemann–Liouville fractional integral operators
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Summary: We obtain results on compactness of two linear Hammerstein integral operators with singularities, and apply the results to give new proof that Riemann-Liouville fractional integral operators of order \(\alpha\in (0,1)\) map \(L^{p}(0,1)\) to \(C[0,1]\) and are compact for each \(p\in \bigl(\frac{1}{1-\alpha},\infty\bigr]\).
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Boundary Value Problems, 2023 In this paper, new generalized weighted fractional derivatives with respect to another function are derived in the sense of Caputo and Riemann–Liouville involving a new modified version of a generalized Mittag–Leffler function with three parameters, as ...
Sabri T. M. Thabet +3 more
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Assembling classical and dynamic inequalities accumulated on calculus of time scales
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 In this paper, we present an extension of dynamic Renyi’s inequality on time scales by using the time scale Riemann–Liouville type fractional integral. Furthermore, we find generalizations of the well–known Lyapunov’s inequality and Radon’s inequality on
Sahir, M.J.S.
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(k,s)-Riemann-Liouville fractional integral and applications
Hacettepe Journal of Mathematics and Statistics, 2016 In this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.
SARIKAYA, Mehmet Zeki +3 more
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Mathematics, 2020 In this paper, we study the existence of solutions for a new nonlocal boundary value problem of integro-differential equations involving mixed left and right Caputo and Riemann−Liouville fractional derivatives and Riemann−Liouville fractional
Bashir Ahmad +3 more
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Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets
Mathematics, 2020 In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
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On some generalized integral inequalities for Riemann-Liouville fractional integrals
Filomat, 2015 In this paper, we give a generalized Montogomery identities for the Riemann-Liouville fractional integrals. We also use this Montogomery identities to establish some new Ostrowski type integral inequalities.
Sarikaya, Mehmet Zeki +2 more
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