FRACTIONAL INTEGRAL OPERATORS IN NONHOMOGENEOUS SPACES [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractWe discuss here the boundedness of the fractional integral operatorIαand its generalized version on generalized nonhomogeneous Morrey spaces. To prove the boundedness ofIα, we employ the boundedness of the so-called maximal fractional integral operatorIa,κ*.
Gunawan, H. +2 more
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Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions [PDF]
, 2020 Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model.
Izsák, Ferenc, Maros, Gábor
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A modification to the conformable fractional calculus with some applications
Alexandria Engineering Journal, 2020 In the conformable fractional calculus, TαTβ≠TβTα and IαIβ≠IβIα, where Tα and Iα are conformable fractional differential and integral operators, respectively. Also, Tβ≠Tnα and Iβ≠Inα, where β=nα for some n∈N.
Ahmad El-Ajou
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Norm estimates for Bessel-Riesz operators on generalized Morrey spaces [PDF]
, 2018 We revisit the properties of Bessel-Riesz operators and refine the proof of the boundedness of these operators on generalized Morrey spaces using Young's inequality. We also obtain an estimate for the norm of these operators on generalized Morrey spaces.
Eridani +2 more
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The Minkowski inequality involving generalized k-fractional conformable integral
Journal of Inequalities and Applications, 2019 In the research paper, the authors exploit the definition of a new class of fractional integral operators, recently proposed by Jarad et al. (Adv. Differ. Equ.
Shahid Mubeen +2 more
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Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator [PDF]
Journal of Inequalities and Applications, 2020 AbstractThe aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator. The inequalities presented in this paper are more general than the existing classical inequalities cited.
Asifa Tassaddiq +5 more
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On Some Generalized Fractional Integral Inequalities for p-Convex Functions
Fractal and Fractional, 2019 In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş +3 more
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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
Journal of Function Spaces and Applications, 2013 We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
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On positive solutions of a system of equations generated by Hadamard fractional operators
Advances in Difference Equations, 2020 This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators.
Amira M. Abdalla +2 more
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Subordination results for a fractional integral operator
Issues of Analysis, 2022 Summary: In this paper, we establish several differential subordinations regarding the operator \(D_z^{-\lambda }SR^{m,n}\) defined using the fractional integral of the differential operator \(SR^{m,n}\), obtained as a convolution product of Sălăgean operator \(S^m\) and Ruscheweyh derivative \(R^n\).
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