Results 21 to 30 of about 357,245 (207)
Advances in Difference Equations, 2020 In this research article, we establish some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via Katugampola fractional integrals and ψ-Riemann–Liouville fractional integrals.
Naila Mehreen, Matloob Anwar
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Open Mathematics, 2022 In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J. +4 more
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Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2023 We first construct new Hermite-Hadamard type inequalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard
Hasan Kara, Samet Erden, Huseyin Budak
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On generalized fractional integral with multivariate Mittag-Leffler function and its applications
Alexandria Engineering Journal, 2022 The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir +6 more
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, 2023 : In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we find the solution of some type of improper fractional integral.
Chii-Huei Yu
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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Positive Solutions of a Singular Fractional Boundary Value Problem with r-Laplacian Operators
Fractal and Fractional, 2021 We investigate the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with r-Laplacian operators and nonnegative singular nonlinearities depending on fractional integrals, supplemented ...
Alexandru Tudorache, Rodica Luca
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Inequalities Pertaining Fractional Approach through Exponentially Convex Functions
Fractal and Fractional, 2019 In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid +2 more
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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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