A Subclass of Harmonic Functions Related to a Convolution Operator by Saqib Hussain, Akhter Rasheed, Maslina Darus

“…For this class we derive coefficient bounds, extreme points, and inclusion results and also show that this class is closed under an integral operator.…”
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Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative by Leonardo Fabio Chacón-Cortés, Humberto Rafeiro

“…In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces. …”
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Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations by Guo Jiang, Dan Chen, Fugang Liu

“…This article presents the numerical solutions of nonlinear stochastic It o^–Volterra integral equations by using the basis function method under the global Lipschitz condition. Integral operator matrixes of triangular functions are used to convert the nonlinear stochastic integral equations into a system of algebraic equations. …”
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Coefficient-Based Regression with Non-Identical Unbounded Sampling by Jia Cai

“…By introducing a suitable reproducing kernel Hilbert space (RKHS) and a suitable intermediate integral operator, elaborate analysis is presented by means of a novel technique for the sample error. …”
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On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation by M. Eshaghi Gordji, H. Baghani, O. Baghani

“…The purpose of this paper is to study the existence of fixed point for a nonlinear integral operator in the framework of Banach space 𝑋∶=𝐶([𝑎,𝑏],ℝ𝑛). …”
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Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators by Dongxiang Chen, Dan Zou, Suzhen Mao

“…This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued multilinear operator and BMO functions. …”
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Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions by Badr S. Alkahtani, Saima Mustafa, Teodor Bulboacă

“…Inclusion results, radius problems, and some connections with the Bernardi-Libera-Livingston integral operator are discussed.…”
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A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator by A. L. Pathak, K. K. Dixit, R. Agarwal

“…We obtain coefficient conditions, distortion bounds, and extreme points for the above class of harmonic univalent functions belonging to this class and discuss a class preserving integral operator. We also show that class studied in this paper is closed under convolution and convex combination. …”
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Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications by Jürgen Geiser

“…Such modifications allow for applying standard iterative splitting schemes and for extending the schemes, respecting the integral operator. A numerical analysis is presented of the system of semidiscretised differential equations as abstract Cauchy problems. …”
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On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination by Abdolreza Tehranchi, Adem Kılıçman

“…Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.…”
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On Some Relationships of Certain K−Uniformly Analytic Functions Associated with Mittag-Leffler Function by Adel A. Attiya, Ekram E. Ali, Taher S. Hassan, Abeer M. Albalahi

“…Also, integral-preserving properties of these classes associated with the certain integral operator are also obtained.…”
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Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators by Ebrahim Amini, Shrideh Al-Omari, Dayalal Suthar

“…Then, by utilizing the Poisson distribution and the concept of the q-analogue Salagean integral operator, the p-valent convergence polynomial was introduced. …”
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A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension by G. Muchatibaya, S. Fassari, F. Rinaldi, J. Mushanyu

“…The ground state energy E0(λ) of Hλ=-d2/dx2-λe-x2 is computed for small values of λ by means of an approximation of an integral operator in momentum space. Such an approximation leads to a transcendental equation for which ϵ0(λ)=|E0(λ)|1/2 is the root.…”
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Weak Estimates of Singular Integrals with Variable Kernel and Fractional Differentiation on Morrey-Herz Spaces by Yanqi Yang, Shuangping Tao

“…Let T be the singular integral operator with variable kernel defined by Tf(x)=p.v.…”
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The formal Laplace-Borel transform of Fliess operators and the composition product by Yaqin Li, W. Steven Gray

“…The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. …”
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On Caputo–Fabrizio Fractional Integral Inequalities of Hermite–Hadamard Type for Modified h-Convex Functions by Xiaobin Wang, Muhammad Shoaib Saleem, Kiran Naseem Aslam, Xingxing Wu, Tong Zhou

“…The aim of this paper is to present some properties of Caputo–Fabrizio fractional integral operator in the setting of h-convex function. …”
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$R_0$ and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission by Toshikazu Kuniya, Mimmo Iannelli

“…We show that the spectral radius of the Fréchet derivative of a nonlinear integral operator plays the role of a threshold value for the global behavior of the model, that is, if the value is less than unity, then the disease-free steady state of the model is globally asymptotically stable, while if the value is greater than unity, then the model has a unique globally asymptotically stable endemic (nontrivial) periodic solution. …”
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Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform by Hafte Amsalu Kahsay, Adnan Khan, Sajjad Khan, Kahsay Godifey Wubneh

“…In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. …”
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Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable by Najla M. Alarifi, Rabha W. Ibrahim

“…We deal with a fractional integral operator type Prabhakar operator in the open unit disk. …”
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Certain New Class of Harmonic Functions Involving Quantum Calculus by Mohammad Faisal Khan

“…Here in this paper, we are using the concepts of q-calculus operator theory associated with harmonic functions and define the q-Noor integral operator for harmonic functions f∈H0. We investigate a new class SH0m,q,α of harmonic functions f∈H0. …”
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