Results 1 to 10 of about 19,938 (283)
Compactness of Riemann–Liouville fractional integral operators [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2020 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 ...
Kunquan Lan
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(k, s)-Riemann-Liouville fractional integral and applications
Hacettepe Journal of Mathematics and Statistics, 2016 Ahmad, Farooq/0000-0001-5240-5825 WOS: 000379031700009 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.
M. Sarıkaya +3 more
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On some integral inequalities for (k, h)−Riemann- Liouville fractional integral
New Trends in Mathematical Science, 2016 In this study, giving the definition of fractional integral, which are with the help of synchronous and monotonic function, some fractional integral inequalities have established.
A. Akkurt, M. Yildirim, H. Yildirim
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Investigation of a Nonlinear Coupled (k, ψ)–Hilfer Fractional Differential System with Coupled (k, ψ)–Riemann–Liouville Fractional Integral Boundary Conditions [PDF]
Foundations, 2022 This paper is concerned with the existence of solutions for a new boundary value problem of nonlinear coupled (k,ψ)–Hilfer fractional differential equations subject to coupled (k,ψ)–Riemann–Liouville fractional integral boundary conditions.
A. Samadi +3 more
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Some new k-Riemann-Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0. [PDF]
J Inequal Appl, 2018 A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral inequalities associated with this class of ...
Nwaeze ER, Kermausuor S, Tameru AM.
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On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
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, 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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Journal of Mathematics, 2020 In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang +5 more
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Study of a generalized Riemann-Liouville fractional integral via convex functions
, 2020 In this paper estimations in general form of sum of left and right sided Riemann-Liouville (RL) fractional integrals for convex functions are studied.
G. Farid
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Journal of Function Spaces, 2019 A new identity involving Riemann-Liouville fractional integral is proposed. The result is then used to obtain some estimates of upper bound for a function associated with Riemann-Liouville fractional integral via h-convex functions.
Shan-He Wu, Muhammad Uzair Awan
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