Results 71 to 80 of about 12,310,207 (201)
IET Control Theory & Applications, 2022 This paper proposes for the first time the theoretical requirements that a fractional‐order bilinear system with conformable derivative has to fulfil in order to satisfy different input‐to‐state stability (ISS) properties.
Hasan Abbasi Nozari +2 more
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The Commutators of Fractional Integrals on Generalized Herz Spaces [PDF]
Journal of Function Spaces, 2014 LetIlbe the fractional integral,0<l<nand letb∈BMO. We will obtain the weighted estimates for the commutatorb,Ilon the generalized Herz spaces.
Yue Hu, Yuexiang He, Yueshan Wang
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The solution of certain triple q-integral equations in fractional q-calculus approach
Arab Journal of Mathematical Sciences, 2019 In this paper, we consider a certain system of triple q-integral equations, where the kernel is the third Jackson q-Bessel functions. We give two solutions by using the fractional q-calculus approach. We study also the system with general kernel.
M.A. AL-Towailb
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The Minkowski’s inequality by means of a generalized fractional integral
AIMS Mathematics, 2018 19 ...
J. Vanterler da C. Sousa +1 more
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Fractional quantum integral operator with general kernels and applications
, 2017 In this paper, we first introduce the concept of fractional quantum integral with general kernels, which generalizes several types of fractional integrals known from the literature.
Azizollah Babakhani +3 more
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The General Fractional Derivative and Related Fractional Differential Equations
Mathematics, 2020 In this survey paper, we start with a discussion of the general fractional derivative (GFD) introduced by A. Kochubei in his recent publications. In particular, a connection of this derivative to the corresponding fractional integral and the Sonine ...
Yuri Luchko, Masahiro Yamamoto
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Lp-solutions for fractional integral equations
, 2014 In this article, we examine L (p) -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of solutions.
Arshad, Sadia +2 more
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Non-Additivity and Additivity in General Fractional Calculus and Its Physical Interpretations
Fractal and FractionalIn this work, some properties of the general convolutional operators of general fractional calculus (GFC), which satisfy analogues of the fundamental theorems of calculus, are described. Two types of general fractional (GF) operators on a finite interval
Vasily E. Tarasov
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Generalized Non-Homogeneous Morrey Spaces And Olsen Inequality [PDF]
, 2008 In this paper, we shall discuss some properties of generalized non-homogeneous Morrey spaces. In addition, we will also prove the Olsen inequality in the non-homogeneous setting.
H. Gunawan, . +3 more
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Error Bounds for Fractional Integral Inequalities with Applications [PDF]
Fractional calculus has been a concept used to obtain new variants of some well-known integral inequalities. In this study, our main goal is to establish the new fractional Hermite-Hadamard, and Simpson's type estimates by employing a differentiable ...
Hüseyin Budak +9 more
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