Results 171 to 180 of about 1,358 (200)
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Journal of Mathematical Sciences, 2022
In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm. We prove Sobolev-type theorems of boundedness of one-dimensional and multidimensional Hadamard-type fractional integration in weighted Lebesgue spaces with mixed norm.
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In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm. We prove Sobolev-type theorems of boundedness of one-dimensional and multidimensional Hadamard-type fractional integration in weighted Lebesgue spaces with mixed norm.
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New Conformable Fractional Integral Inequalities of Hermite–Hadamard Type for Convex Functions [PDF]
Symmetry, 2019 In this work, we established new inequalities of Hermite–Hadamard type for convex functions via conformable fractional integrals. Through the conformable fractional integral inequalities, we found some new inequalities of Hermite–Hadamard ...
P O Mohammed +2 more
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Some Generalized Hadamard–Type Inequalities via Fractional Integrals
Russian Mathematics, 2021In this paper, the authors derived and proved some generalized inequalities of Hermite-Hadamard type using fractional Riemann-Liouville integrals for the class of s-convex functions.
BAYRAKTAR, BAHTİYAR +2 more
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Hermite–Hadamard inequalities for Riemann–Liouville fractional integrals [PDF]
Mathematica SlovacaAbstract In this paper, we prove some new inequalities of Hermite–Hadamard type for differentiable functions with h-convex derivatives. It is also shown that the newly established inequalities are extension of the existing inequalities in the literature. Finally, we give applications of the new results and outline some future problems.
Ali Muhammad Aamir +2 more
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The Hadamard Inequality For Convex Function Via Fractional Integrals
Acta Mathematica Scientia, 2013Abstract In this paper, we establish several inequalities for some differantiable mappings that are connected with the Riemann-Liouville fractional integrals. The analysis used in the proofs is fairly elementary.
ÖZDEMİR, MUHAMET EMİN +2 more
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Fractional integral problems for Hadamard–Caputo fractional Langevin differential inclusions
Journal of Applied Mathematics and Computing, 2015The authors consider the differential inclusion (of fractional type) \[ D^{\alpha}\big(D^{\beta}+\lambda\big)x(t)\in F\big(t,x(t)\big) \] for \(t\in[1,e]\). The differential inclusion is subjected to the conditions (of nonlocal type) \[ \sum_{i=1}^{m}\theta_{i}I^{\mu_i}x\left(\eta_i\right)=\sum_{j=1}^{n}\phi_{j}I^{\gamma_j}x\left(\omega_j\right) \] and
Ntouyas, Sotiris K., Tariboon, Jessada
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On pseudo-fractional integral inequalities related to Hermite–Hadamard type
Soft Computing, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maryam Hosseini +3 more
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Variational problems with Hadamard type fractional integrals
ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014, 2014This paper is devoted to the study of variational problems with Hadamard type fractional integrals. We present two approaches to solve such type of variational problems: indirect and direct. In the first case we derive necessary optimality conditions which reduce the problem to one involving a fractional integral equation.
Ricardo Almeida +2 more
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On Hadamard Fractional Integral and Physical Interpretation
SSRN Electronic Journal, 2022openaire +1 more source