Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems by Ruyun Ma

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Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces by Chi-Ming Chen

“…We obtain some new fixed point theorems for a (𝜓,𝜙)-pair Meir-Keeler-type set-valued contraction map in metric spaces. …”
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Results on non local impulsive implicit Caputo-Hadamard fractional differential equations by K. Venkatachalam, M. Sathish Kumar, P. Jayakumar

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An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders by Lili Zhang, Chengbo Zhai

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Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations] by Maysoon Qousini, Berhanu Seboka, Fikadu Tesgera Tolasa, Gudeta Hanchalu, Nasir Ali, Tamene Raji

“…The main result of this study is a generalization of existing fixed-point theorems, supported by comprehensive corollaries, illustrative examples, and rigorous proofs. …”
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A Study on the Existence, Uniqueness, and Stability of Fractional Neutral Volterra-Fredholm Integro-Differential Equations with State-Dependent Delay by Prabakaran Raghavendran, Tharmalingam Gunasekar, Junaid Ahmad, Walid Emam

Subjects: “…Krasnoselskii’s fixed point theorem…”
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Stability analysis for first-order nonlinear differential equations with three-point boundary conditions by Kamala E. Ismayilova

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Stability analysis for μ-p.a.a. solutions of MAM neural network with neuron gains by Feng-Xia Zheng, Ni Zeng, Chuan-Yun Gu

Subjects: “…Banach fixed point theorem…”
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Bilinear Optimal Control for a Nonlinear Parabolic Equation Involving Nonlocal-in-Time Term by Gisèle Mophou, Arnaud Fournier, Célia Jean-Alexis

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Analyzing chaotic systems with multi-step methods: Theory and simulations by Meriem Mansouria Belhamiti, Zoubir Dahmani, Jehad Alzabut, D.K. Almutairi, Hasib Khan

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Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives by Sabri T.M. Thabet, Imed Kedim, Bahaaeldin Abdalla, Thabet Abdeljawad

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Existence and uniqueness of equilibrium states of a rotating elastic rod by M. B. M. Elgindi

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On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative by Abduljawad Anwar, Shayma Adil Murad

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New Results and Generalizations for Approximate Fixed Point Property and Their Applications by Wei-Shih Du, Farshid Khojasteh

“…As applications of our results, some new fixed point theorems which generalize and improve Du's fixed point theorem, Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and Nadler's fixed point theorem and some well-known results in the literature are given.…”
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New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness by Wei-Shih Du

“…By exploiting these results, we prove some new coincidence point and fixed point theorems which generalize and improve Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, Kikkawa-Suzuki's fixed point theorem, and some well known results in the literature. …”
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The Monotone Contraction Mapping Theorem by Joseph Frank Gordon

“…In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. …”
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Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems by Mohamed Hannabou, Khalid Hilal, Ahmed Kajouni

“…By utilizing the theory of operators semigroup and fractional derivative, a new concept on a solution for our problem is introduced. We used some fixed point theorems such as Banach contraction mapping principle, Schauder’s fixed point theorem, Schaefer’s fixed point theorem, and Krasnoselskii’s fixed point theorem, and we derive many existence and uniqueness results concerning the solution for impulsive nonlocal Cauchy problems. …”
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Complete Controllability for Fractional Evolution Equations by Xia Yang, Haibo Gu

“…By contraction fixed point theorem and Krasnoselskii's fixed point theorem, we obtain some sufficient conditions to ensure the complete controllability. …”
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On coincidence theorems for a family of mappings in convex metric spaces by Olga Hadzic

“…This theorem is a generalization of the well known fixed point theorem proved by Assad and Kirk. As an application a common fixed point theorem in metric spaces with a convex structure is obtained.…”
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Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions by Xi Fu, Xiaoyou Liu

“…By means of Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results are obtained. …”
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