Exciting Fixed Point Results on a Novel Space with Supportive Applications by Hasanen A. Hammad, Hassen Aydi, Yaé Ulrich Gaba

“…Moreover, we apply the theoretical results to find a unique solution of a complex valued Atangana-Baleanu fractional integral operator and a system of complex linear equations. …”
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Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations by Sohrab Bazm, Fatemeh Pahlevani

“…One significant advantage of this method lies in its ability to avoid the need for direct integration to discretize the integral operator. Error estimates are provided and two illustrative examples are included to demonstrate the method’s effectiveness and practical applicability.…”
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Problems solving in the integral calculus and the determination of the area under the curve by Juan E. N´apoles Vald´es, Maria Nubia Quevedo

“…This article presents a useful problem for Mathematics Education, derived from a generalized integral operator, for this we define what we understand by an integrable function in this generalized sense, and the geometric interpretation of a generalized definite integral is presented. …”
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Threshold Dynamics of a Huanglongbing Model with Logistic Growth in Periodic Environments by Jianping Wang, Shujing Gao, Yueli Luo, Dehui Xie

“…It is shown that the global dynamics are determined by the basic reproduction number R0 which is defined through the spectral radius of a linear integral operator. If R0 < 1, then the disease-free periodic solution is globally asymptotically stable and if R0 > 1, then the disease persists. …”
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The Hölder and Minkowski Inequalities Utilizing a Fractional Operator Involvement of Pseudo-Operator by Hadiseh Fallah Andevari, Azizollah Babakhani, Daniela Oliveira

“…A generalized integral operator of order $\alpha$ of a real function $f$  including a parameter set $P$, namely $K_P^\alpha f(t)$ has been introduced by O. …”
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Numerical Investigation of Fractional-Order Differential Equations via φ-Haar-Wavelet Method by F. M. Alharbi, A. M. Zidan, Muhammad Naeem, Rasool Shah, Kamsing Nonlaopon

“…In this paper, we derived an explicit formula for the φ-fractional integral of the Haar-wavelet by utilizing the φ-fractional integral operator. We also extended our method to nonlinear φ-FDEs. …”
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Integral representation of vertical operators on the Bergman space over the upper half-plane by Bais, Shubham R., Venku Naidu, D., Mohan, Pinlodi

“…In this article, we prove that every vertical operator on the Bergman space $\mathcal{A}^2(\Pi )$ over the upper half-plane can be uniquely represented as an integral operator of the form \begin{equation*} \left(S_\varphi f\right)(z) = \int _{\Pi } f(w) \varphi (z-\overline{w}) d\mu (w),~~\forall f\in \mathcal{A}^2(\Pi ),~z\in \Pi , \end{equation*} where $\varphi $ is an analytic function on $\Pi $ given by \begin{equation*} \varphi (z) = \int _{\mathbb{R}_+}\xi \sigma (\xi ) e^{iz\xi } d\xi , \ \forall z\in \Pi \end{equation*} for some $\sigma \in L^\infty (\mathbb{R}_+)$. …”
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Further Developments of Bessel Functions via Conformable Calculus with Applications by Mahmoud Abul-Ez, Mohra Zayed, Ali Youssef

“…We establish several important formulas of the fractional Laplace Integral operator acting on the CFBFs of the first kind. …”
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P-FFT Accelerated EFIE with a Novel Diagonal Perturbed ILUT Preconditioner for Electromagnetic Scattering by Conducting Objects in Half Space by Lan-Wei Guo, Yongpin Chen, Jun Hu, Joshua Le-Wei Li

“…Inspired by the idea of the improved electric field integral operator (IEFIO), the geometrical-optics current/principle value term of the magnetic field integral equation is used as a physical perturbation to stabilize the traditional ILUT perconditioning matrix. …”
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Refinements of Some Integral Inequalities for φ-Convex Functions by Moquddsa Zahra, Yu-Ming Chu, Ghulam Farid

“…In this paper, we are interested to deal with unified integral operators for strongly φ-convex function. We will present refinements of bounds of these unified integral operators and use them to get associated results for fractional integral operators. …”
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Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces by Yanlong Shi, Li Li, Zhonghua Shen

“…In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular integral operators and λ-central BMO functions.…”
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Refinements of Various Types of Fractional Inequalities via Generalized Convexity by Yong Tang, Ghulam Farid, M. Y. Youssif, Zakieldeen Aboabuda, Amna E. Elhag, Kahkashan Mahreen

“…This paper aims to find generalizations of inequalities that hold for unified integral operators by applying strongly exponentially α,ℏ−m−p-convex functions. …”
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Some Fractional Integral Inequalities Involving Mittag-Kernels by Xiujun Zhang, Ghulam Farid, Jiraporn Reunsumrit, Ayyaz Ahmad, Thanin Sitthiwirattham

“…This paper aims to present fractional versions of Minkowski-type integral inequalities via integral operators involving Mittag-Leffler functions in their kernels. …”
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A Note about Young’s Inequality with Different Measures by Saba Mehmood, Eridani Eridani, Fatmawati Fatmawati

“…Doubling measure, Young's inequality, and Minköwski’s inequality will be used in proofs of boundedness of integral operators. In addition, we also explore the relation between the parameters of the kernel and generalized integral operators and see the norm of these generalized operators which will also be bounded by the norm of their kernel with different measures.…”
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Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions by Chahn Yong Jung, Muhammad Yussouf, Yu-Ming Chu, Ghulam Farid, Shin Min Kang

“…Generalized versions of the Hadamard and the Fejér–Hadamard fractional integral inequalities for harmonically α,h−m-convex functions via generalized fractional integral operators are proved. From presented results, a series of fractional integral inequalities can be obtained for harmonically convex, harmonically h−m-convex, harmonically α,m-convex, and related functions and for already known fractional integral operators.…”
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Distributed Drives Monitoring and Control: A Laboratory Setup by Mini Sreejeth, Parmod Kumar, Madhusudan Singh

“…The performances of IM and PMSM under parametric variations are predicted through sensitivity analysis. An integrated operation of the drives is demonstrated through experimental and simulation results.…”
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Marcinkiewicz integrals along subvarieties on product domains by Ahmad Al-Salman

“…We study the Lp mapping properties of a class of Marcinkiewicz integral operators on product domains with rough kernels supported by subvarieties.…”
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Hardy-type inequalities for integral transforms associated with Jacobi operator by M. Dziri, L. T. Rachdi

“…We establish Hardy-type inequalities for the Riemann-Liouville and Weyl transforms associated with the Jacobi operator by using Hardy-type inequalities for a class of integral operators.…”
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A Korovkin theorem in multivariate modular function spaces by Carlo Bardaro, Ilaria Mantellini

“…In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.…”
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Herz-Morrey-Hardy Spaces with Variable Exponents and Their Applications by Jingshi Xu, Xiaodi Yang

“…Applying the characterization, the authors obtain the boundedness of some singular integral operators on these spaces.…”
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