Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials by Md. Nasiruzzaman, A. F. Aljohani

“…We study the global approximation in terms of uniform modulus of smoothness and calculate the local direct theorems of the rate of convergence with the help of Lipschitz-type maximal functions in weighted space. Furthermore, the Voronovskaja-type approximation theorems of this new operator are also presented.…”
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Singularities of Indefinite Hypersurfaces and Indefinite Surfaces along Timelike Curves in Nullcone with Index Two by Xue Song, Zhigang Wang

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Intuitionistic Fuzzy Fixed Point Theorems in Complex-Valued b-Metric Spaces with Applications to Fractional Differential Equations by Rehana Tabassum, Mohammed Shehu Shagari, Akbar Azam, OM Kalthum S. K. Mohamed, Awad A. Bakery

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Transformation Magnetohydrodynamics in Presence of a Channel Filled with Porous Medium and Heat Transfer of Non-Newtonian Fluid by Using Lie Group Transformations by Nazek Alessa

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Generalized Lucas Tau Method for the Numerical Treatment of the One and Two-Dimensional Partial Differential Heat Equation by Y. H. Youssri, W. M. Abd-Elhameed, S. M. Sayed

“…Five illustrative problems are numerically solved via the two proposed numerical schemes to show the applicability and accuracy of the presented algorithms. Our obtained results compare favourably with the exact solutions.…”
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Positive Coexistence of Steady States for a Diffusive Ratio-Dependent Predator-Prey Model with an Infected Prey by Kwangjoong Kim, Inkyung Ahn

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Fractional-View Analysis of Jaulent-Miodek Equation via Novel Analytical Techniques by Ahmad Haji Zadeh, Kavikumar Jacob, Nehad Ali Shah, Jae Dong Chung

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Tricorns and Multicorns of S-Iteration Scheme by Shin Min Kang, Arif Rafiq, Abdul Latif, Abdul Aziz Shahid, Young Chel Kwun

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Some Coincidence and Common Fixed-Point Results on Cone b2-Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations by Ziaul Islam, Muhammad Sarwar, Doaa Filali, Fahd Jarad

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On Pentagonal Controlled Fuzzy Metric Spaces with an Application to Dynamic Market Equilibrium by Aftab Hussain, Umar Ishtiaq, Khaleel Ahmed, Hamed Al-Sulami

“…In this manuscript, we coined pentagonal controlled fuzzy metric spaces and fuzzy controlled hexagonal metric space as generalizations of fuzzy triple controlled metric spaces and fuzzy extended hexagonal b-metric spaces. We use a control function in fuzzy controlled hexagonal metric space and introduce five noncomparable control functions in pentagonal controlled fuzzy metric spaces. …”
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Multiple Solution Results for Perturbed Fractional Differential Equations with Impulses by Peiluan Li, Liang Xu, Peiyu Li, Hui Wang

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Hyers-Ulam Stability and Existence Criteria for the Solution of Second-Order Fuzzy Differential Equations by Noor Jamal, Muhammad Sarwar, M. Motawi Khashan

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Kannan-Type Contractions on New Extended b-Metric Spaces by Hassen Aydi, Muhammad Aslam, Dur-e-Shehwar Sagheer, Samina Batul, Rashid Ali, Eskandar Ameer

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Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability by Shahram Rezapour, Zoubida Bouazza, Mohammed Said Souid, Sina Etemad, Mohammed K. A. Kaabar

“…Our results are obtained via generalized intervals and piecewise constant functions and the relevant Green function, by converting the existing Hadamard variable order fractional boundary value problem to an equivalent standard Hadamard fractional boundary problem of the fractional constant order. …”
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Unique Fixed-Point Results in Fuzzy Metric Spaces with an Application to Fredholm Integral Equations by Iqra Shamas, Saif Ur Rehman, Hassen Aydi, Tayyab Mahmood, Eskandar Ameer

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On Stancu-Type Generalization of Modified p,q-Szász-Mirakjan-Kantorovich Operators by Yong-Mo Hu, Wen-Tao Cheng, Chun-Yan Gui, Wen-Hui Zhang

“…In the present article, we construct p,q-Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ,α,β. …”
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Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations by Saif Ur Rehman, Hassen Aydi

“…Some illustrative examples are presented to support our work. Moreover, as an application, we ensure the existence of a common solution of the Fredholm integral equations: μτ=∫0τΓτ,v,μvdv and ντ=∫0τΓτ,v,νvdv, for all μ∈U, v∈0,η, and 0<η∈ℝ, where U=C0,η,ℝ is the space of all ℝ-valued continuous functions on the interval 0,η and Γ:0,η×0,η×ℝ⟶ℝ.…”
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Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm by Xinran Bai, Yunan Cui, Joanna Kończak

“…We obtain an interesting result that the norm of an element in line segments is formed by two elements on the unit sphere less than or equal to 1 if and only if that the monotone function is a convex function. The criterion that Orlicz spaces and Orlicz sequence spaces that are generated by monotone function equipped with the Mazur-Orlicz F-norm are strictly monotone or lower locally uniform monotone is presented.…”
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Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces by Chin-Tzong Pang, Eskandar Naraghirad

“…Some application of our results to the problem of finding a minimizer of a continuously Fréchet differentiable and convex function in a Banach space is presented. Our results improve and generalize many known results in the current literature.…”
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Solving Fractional Differential Equations by Using Triangle Neural Network by Feng Gao, Yumin Dong, Chunmei Chi

“…The efficiency and accuracy of the presented methods are shown by some numerical examples. …”
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