On the existence and uniquness theorem of the global solutions for UFDES [PDF]
Journal of Mahani Mathematical Research, 2022 The uncertain functional differential equation (UFDE) is a type of functional differential equations driven by a canonical uncertain process. Uncertain functional differential equation with infinite delay (IUFDE) have been widely applied in sciences and ...
Samira Siya Mansouri +2 more
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Existence, uniqueness, approximation of solutions and Ealpha-Ulam stability results for a class of nonlinear fractional differential equations involving psi-Caputo derivative with initial conditions [PDF]
Mathematica Moravica, 2021 The main purpose of this paper is to study the existence, uniqueness, Ea-Ulam stability results, and other properties of solutions for certain classes of nonlinear fractional differential equations involving the ps-Caputo derivative with initial ...
Derbazi Choukri +3 more
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Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces [PDF]
Opuscula Mathematica, 2010 In this paper, we study the existence and uniqueness of the \(PC\)-mild solution for a class of impulsive fractional differential equations with time-varying generating operators and nonlocal conditions.
JinRong Wang, YanLong Yang, W. Wei
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On the positive solutions for IBVP of conformable differential equations
AIMS Mathematics, 2023 A problem with integral boundary conditions (IBVP) involving conformable fractional derivatives is considered in this article. The upper and lower solutions technique is used to discuss the existence and uniqueness of positive solutions.
Mouataz Billah Mesmouli +1 more
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Mathematics, 2023 Herein, we mainly employ the fixed point theorem and Lax-Milgram theorem in functional analysis to prove the existence and uniqueness of generalized and mixed finite element (MFE) solutions for two-dimensional steady Boussinesq equation.
Zhendong Luo +3 more
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On a unique solution of fractional differential system
Tikrit Journal of Pure Science, 2019 The aim of the study is to investigate the existence and uniqueness of solutions for a semi linear fractional differential system via Banach fixed point theorem.
Muayyad Mahmood Khalil
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Existence and uniqueness theorems for functional equations
Communications in Mathematics, 2023 In this paper we give simple extension and uniqueness theorems for restricted additive and logarithmic functional equations.
Glavosits, Tamás, Karácsony, Zsolt
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The initial-boundary value problem for a class of third order pseudoparabolic equations
Boundary Value Problems, 2020 In this paper, a priori estimate for a linear third pseudoparabolic operator with bound is established, and applying the above result, the existence and uniqueness theorem of solutions for a class of nonlinear pseudoparabolic equations is obtained with ...
Yanqing Feng, Limin Guo, Zhongying Wang
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A variational principle for cyclic polygons with prescribed edge lengths [PDF]
, 2016 We provide a new proof of the elementary geometric theorem on the existence and uniqueness of cyclic polygons with prescribed side lengths. The proof is based on a variational principle involving the central angles of the polygon as variables.
JM Schlenker +5 more
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Existence-uniqueness of solutions for fuzzy nabla initial value problems on time scales
Advances in Difference Equations, 2019 This paper is devoted to studying the existence and uniqueness of solutions of fuzzy nabla dynamic equations on time scales under Hukuhara differentiability. We apply the Banach contraction mapping principle to establish existence and uniqueness solution
R. Leelavathi +3 more
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