Results 11 to 20 of about 3,111,772 (368)
AIMS Mathematics, 2021 In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain $q$-integral operator in the open unit disk $\mathbb{U}$.
B. Khan +5 more
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Concerning a Novel Integral Operator and a Specific Category of Starlike Functions
Mathematics, 2023 In this study, a novel integral operator that extends the functionality of some existing integral operators is presented. Specifically, the integral operator acts as the inverse operator to the widely recognized Opoola differential operator.
Ayotunde Olajide Lasode +4 more
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Advances in Differential Equations, 2021 This paper deals with Al-Salam fractional q -integral operator and its application to certain q -analogues of Bessel functions and power series. Al-Salam fractional q -integral operator has been applied to various types of q -Bessel functions and some ...
S. Al-Omari, D.L. Suthar, S. Araci
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Fuzzy Differential Subordinations Obtained Using a Hypergeometric Integral Operator
Mathematics, 2021 This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. Using the ideas specific to geometric function theory from the field of complex analysis, fuzzy differential ...
G. Oros
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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
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Homogeneous operators and homogeneous integral operators [PDF]
Mathematical Methods in the Applied Sciences, 2021 We introduce and study in a general setting the concept of homogeneity of an operator and, in particular, the notion of homogeneity of an integral operator. In the latter case, homogeneous kernels of such operators are also studied. The concept of homogeneity is associated with transformations of a measure—measure dilations, which are most natural in ...
Zhirayr Avetisyan, Alexey Karapetyants
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AIMS Mathematics, 2020 The investigation of the proposed methods is effective and convenient for solving the integrodifferential and difference equations. In this note, we introduce the generalized $\mathcal{K}$-fractional integral in terms of a new parameter $\mathcal{K}>0 ...
S. Rashid, M. Noor, K. Noor, Y. Chu
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Mathematical Problems in Engineering, 2020 This study reveals new fractional behavior of Minkowski inequality and several other related generalizations in the frame of the newly proposed fractional operators.
S. Rashid, F. Jarad, Y. Chu
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Operators with an integral reprsentation [PDF]
Proceedings of the American Mathematical Society, 2016 n ...
CILIA, Raffaela Giovanna, Gutierrez JM
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Karpatsʹkì Matematičnì Publìkacìï, 2023 We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
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