Results 31 to 40 of about 357,245 (207)
Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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On some generalized integral inequalities for riemann-liouville fractional integrals [PDF]
, 2014 YÖK Tez No: 379797Kesirli analiz teorisi son on yıldır ciddi bir gelişme gösterdiği çok iyi bilinmektedir. Kesirli integral ve türevler, reel nesnel ve işlemlerin matematiksel modellemesinin yeterince sağladığını gösteriyor.
Filiz, Hatice
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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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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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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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Estimations of Riemann–Liouville k-fractional integrals via convex functions [PDF]
, 2019 The k-fractional integrals introduced by S. Mubeen and G. M. Habibullah in 2012 are a generalization of Riemann–Liouville fractional integrals.
Farid, Ghulam
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Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]
, 2013 In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S +8 more
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