Results 1 to 10 of about 1,483,475 (271)
IEEE Access, 2021 This paper is concerned with the stability analysis problems of linear systems with time-varying delays using integral inequalities. To reduce the conservatism of stability criteria obtained with Lyapunov-Kraosvksii approach, there has been a growing ...
Nam Kyu Kwon, Seok Young Lee
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Disconjugacy and integral inequalities [PDF]
Transactions of the American Mathematical Society, 1980 The basic data in this paper are a disconjugate differential operator and an associated two-point boundary value problem. These define in a natural way a cone of functions satisfying a differential inequality with respect to the operator. By using a result of P. W. Bates and G. B.
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Fractional integral inequalities and global solutions of fractional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 New fractional integral inequalities are established, which generalize some famous inequalities. Then we apply these new fractional integral inequalities to study global existence results for fractional differential equations.
Tao Zhu
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Some Fractional Integral Inequalities for a Generalized Class of Nonconvex Functions
Journal of Mathematics, 2022 Fractional integral inequalities help to solve many difference equations. In this paper, we present some fractional integral inequalities for generalized harmonic nonconvex functions. Moreover, we also present applications of developed inequalities.
Yeliang Xiao +2 more
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Advances in Difference Equations, 2021 In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li +4 more
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Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications
Mathematics, 2021 In this paper, we introduce the concept of n-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha.
Zhong-Xuan Mao +4 more
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Journal of Mathematics, 2020 In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type
Gauhar Rahman +3 more
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Boundary Value ProblemsIn this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators.
Noureddine Azzouz +3 more
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Some Fractional Integral Inequalities Involving Mittag-Kernels
Journal of Mathematics, 2022 This paper aims to present fractional versions of Minkowski-type integral inequalities via integral operators involving Mittag-Leffler functions in their kernels. Inequalities for various kinds of well-known integral operators can be deduced by selecting
Xiujun Zhang +4 more
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Applied Mathematics in Science and EngineeringIn this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated.
Khuram Ali Khan +4 more
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