On the foundations of weak fuzzy complex-real functions by Lama Razouk, Suliman Mahmoud, Mohamad Ali

“…On the other hand, differentiability, integrability, and continuity of WFC functions in one variable will be presented in terms of theorems, and many related examples will be illustrated to clarify the validity of our work.…”
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Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales by Gang Wu, Longsuo Li, Xinrong Cong, Xiufeng Miao

“…The arguments are based upon fixed-point theorems in a cone.…”
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Multipoint BVP for the Langevin Equation under φ-Hilfer Fractional Operator by Mohammed A. Almalahi, Satish K. Panchal, Fahd Jarad

“…Next, we investigate and develop sufficient conditions for the existence and uniqueness of solutions by means of semigroups of operator approach and the Krasnoselskii fixed point theorems as well as Banach contraction principle. Moreover, by means of Gronwall’s inequality lemma and mathematical techniques, we analyze Ulam-Hyers and Ulam-Hyers-Rassias stability results. …”
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The Dirichlet Problem for the 2D Laplace Equation in a Domain with Cracks without Compatibility Conditions at Tips of the Cracks by P. A. Krutitskii

“…The well-posed formulation of the problem is given, theorems on existence and uniqueness of a classical solution are proved, and the integral representation for a solution is obtained. …”
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Conditional diagnosability of exchanged crossed cube under the MM model by Chen GUO, Ming LEMG, Shuo PENG, Bo WANG

“…Exchanged crossed cube (ECQ) was the latest achievement in the study of novel interconnection network topology.ECQ retained the advantages of hypercube such as recursive structure,high partitionability and strong connectivity,with better properties than other variations of hypercube in terms of the smaller diameter,fewer links,and lower cost factor,which indicated more balanced consideration among performance and cost.As the study object,after topological analyzing,some important topological properties and connectivity theorems of ECQ were introduced,then the conditional diagnosability of ECQ(s,t)was determined under the MM model,which was 3s 2− for t≥s≥2.The research results will provide the key parameters for the reliability evaluation of ECQ in the future.So it has important theoretical significance and application value.…”
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Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics by Esam Y. Salah, Bhausaheb Sontakke, Mohammed S. Abdo, Wasfi Shatanawi, Kamaleldin Abodayeh, M. Daher Albalwi

“…The mathematical model of the dynamics of HIV/AIDS infection transmission is developed by adding the set of infected but noninfectious persons, using a conformable fractional derivative in the Liouville–Caputo sense. Some fixed point theorems are applied to this model to investigate the existence and uniqueness of the solutions. …”
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Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space by Rishi Dhariwal, Deepak Kumar

“…Specifically, it considers pairs of self-mappings that satisfy either a $(\phi-\psi)$-Kannan-type or Chatterjea-type contractive condition and proves common fixed point theorems for faintly compatible continuous or reciprocal continuous along with non-compatible pairs of such mappings. …”
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Analyzing Uniqueness of Solutions in Nonlinear Fractional Differential Equations with Discontinuities Using Lebesgue Spaces by Farva Hafeez, Mdi Begum Jeelani, Nouf Abdulrahman Alqahtani

“…By employing techniques from Lebesgue spaces, including Holder’s inequality, we establish uniqueness theorems for this problem, analogous to Nagumo, Krasnoselskii–Krein, and Osgood-type results. …”
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Wavelet Optimal Estimations for Density Functions under Severely Ill-Posed Noises by Rui Li, Youming Liu

“…It turns out that our results extend some theorems of Pensky and Vidakovic (1999), as well as Fan and Koo (2002).…”
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On close-to-convex functions of complex order by H. S. Al-Amiri, Thotage S. Fernando

“…The authors also obtain some distortion and covering theorems for Kn(b) and determine the radius of the largest disk in which every f∈Kn(b) belongs to Kn(1). …”
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Mixed-type duality approach for interval-valued programming problems with vanishing constraints by Vivek Singh, Neelima Shekhawat

“…The relationship between the original interval-valued programming problem with vanishing constraints and its mixed-type dual are discussed by weak, strong and strict converse duality theorems using the assumption of generalized convexity. …”
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Analytical Properties of Credibilistic Expectation Functions by Shuming Wang, Bo Wang, Junzo Watada

“…First, some continuity theorems on the continuity and semicontinuity conditions are proved for the expectation functions. …”
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Iterating Fixed Point via Generalized Mann’s Iteration in Convex b-Metric Spaces with Application by A. Asif, M. Alansari, N. Hussain, M. Arshad, A. Ali

“…The results further lead us to some important corollaries, and examples are produced in support of our main theorems. The paper most importantly presents application of our results in finding solution to the integral equations.…”
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Soft almost weakly continuous functions and soft Hausdorff spaces by Samer Al-Ghour, Jawaher Al-Mufarrij

“…We also present various results of soft composition, restriction, preservation, product, and soft graph theorems in terms of soft almost weakly continuous functions.…”
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Embedding Operators in Vector-Valued Weighted Besov Spaces and Applications by Veli Shakhmurov

“…The embedding theorems in weighted Besov-Lions type spaces 𝐵𝑙,𝑠𝑝,𝑞,𝛾 (Ω;𝐸0,𝐸) in which 𝐸0,𝐸 are two Banach spaces and 𝐸0⊂𝐸 are studied. …”
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Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian by Ya-ling Li, Shi-you Lin

“…We show some results about the existence and the uniqueness of the positive solution by using fixed point theorems and the properties of Green's function and the p-Laplacian operator.…”
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Iterative Construction of Fixed Points for Functional Equations and Fractional Differential Equations by Latif Ur Rahman, Muhammad Arshad, Sabri T. M. Thabet, Imed Kedim

“…We first obtain some ∆ and strong convergence theorems using M∗-iterative scheme. Using one of our main results, we solve a FDE from a broad class of fractional calculus. …”
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Integrodifferential Equations on Time Scales with Henstock-Kurzweil-Pettis Delta Integrals by Aneta Sikorska-Nowak

“…We prove existence theorems for integro-differential equations 𝑥Δ∫(𝑡)=𝑓(𝑡,𝑥(𝑡),𝑡0𝑘(𝑡,𝑠,𝑥(𝑠))Δ𝑠), 𝑥(0)=𝑥0, 𝑡∈𝐼𝑎=[0,𝑎]∩𝑇, 𝑎∈𝑅+, where 𝑇 denotes a time scale (nonempty closed subset of real numbers 𝑅), and 𝐼𝑎 is a time scale interval. …”
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A Novel Prescribed-Time Convergence Acceleration Algorithm with Time Rescaling by Xuehui Mei, Pengrui Zhang, Haijun Jiang, Zhiyong Yu

“…Two prescribed-time acceleration algorithms are constructed by introducing time rescaling, and the acceleration algorithms are used to solve unconstrained optimization problems and optimization problems containing equation constraints. Some important theorems are given, and the convergence of the acceleration algorithms is proven using the Lyapunov function method. …”
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Dynamics of a general model of nonlinear difference equations and its applications to LPA model by Wedad Albalawi, Fatemah Mofarreh, Osama Moaaz

“…Moreover, we present some general theorems that help study the periodicity of solutions to the DEs. …”
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