Some integral inequalities for (k, s) - Riemann-Liouville fractional operators [PDF]
, 2018 WOS: 000456137400008In this paper, by using a new fractional integral approach of M.Z. Sarikaya et al., we establish new generalized fractional integral inequalities involving (k, s) - Riemann-Liouville integral operators.
Dahmani, Zoubir +5 more
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The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces II [PDF]
, 2022 In this work we study the Riemann-Liouville fractional integral of order $\alpha\in(0,1/p)$ as an operator from $L^p(I;X)$ into $L^{q}(I;X)$, with $1\leq q\leq p/(1-p\alpha)$, whether $I=[t_0,t_1]$ or $I=[t_0,\infty)$ and $X$ is a Banach space.
Júnior, Renato Fehlberg +1 more
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(k, s)-Riemann-Liouville fractional integral and applications [PDF]
, 2016 Ahmad, Farooq/0000-0001-5240-5825WOS: 000379031700009In 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
Dahmani, Zoubir +4 more
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, 2022 In the present paper, we introduce the fractional q-integral of Riemann-Liouville integral type Szász-Mirakyan-Kantorovich operators. Korovkin-type approximation theorem is given and the order of convergence of these operators are obtained by using ...
Kara, Mustafa
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A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation [PDF]
, 2020 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Chartbupapan, Watcharin +5 more
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, 2019 Here we present the right and left Riemann-Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time.
Anastassiou, George A.
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Necessary optimality conditions for fractional action-like problems with intrinsic and observer times [PDF]
, 2008 We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems.
Frederico, G.S.F., Torres, D.F.M.
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Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–Liouville Fractional Integral Inequalities [PDF]
This paper develops integral inequalities for first-order differentiable convex functions within the framework of fractional calculus, extending Boole-type inequalities to this domain. An integral equality involving Riemann–Liouville fractional integrals
Hüseyin Budak +9 more
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Integral-Type Fractional Equations with a Proportional Riemann–Liouville Derivative
, 2021 In this paper, we present the necessary conditions where integral-type fractional equations with a proportional Riemann–Liouville derivative have a unique solution.
Nabil Mlaiki
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On Some Generalized Integral Inequalities for Riemann-Liouville Fractional Integrals [PDF]
, 2015 WOS: 000356615900016In this paper, we give a generalized Montogomery identities for the Riemann-Liouville fractional integrals.
Filiz, Hatice +3 more
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