INTEGRO-DIFFERENTIAL EQUATION WITH FEATURE IN A BANACH SPACE
نویسندگان
چکیده
منابع مشابه
The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space
In this paper, the existence and uniqueness of the solution of a nonlinear fully fuzzy implicit integro-differential equation arising in the field of fluid mechanics is investigated. First, an equivalency lemma is presented by which the problem understudy is converted to the two different forms of integral equation depending on the kind of differentiability of the solution. Then...
متن کاملThe existence result of a fuzzy implicit integro-differential equation in semilinear Banach space
In this paper, the existence and uniqueness of the solution of a nonlinear fully fuzzy implicit integro-differential equation arising in the field of fluid mechanics is investigated. First, an equivalency lemma is presented by which the problem understudy is converted to the two different forms of integral equation depending on the kind of differentiability of the solution. Then, the conditions...
متن کاملExistence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces
and Applied Analysis 3 where CD 0 is the Caputo’s fractional derivative, a1, a2, b1, b2, d1, and d2 are real numbers, 0 < η1, and η2 < 1. In 20 , Stanĕk has discussed the existence of positive solutions for the singular fractional boundary value problem Du t f ( t, u, u′, Du ) 0, 2 < q < 3, 0 < p < 1, u 0 0, u′ 0 u′ 1 0. 1.7 However, to the best of the author’s knowledge, a few papers can be fo...
متن کاملA Note on Solving Prandtl's Integro-Differential Equation
A simple method for solving Prandtl's integro-differential equation is proposed based on a new reproducing kernel space. Using a transformation and modifying the traditional reproducing kernel method, the singular term is removed and the analytical representation of the exact solution is obtained in the form of series in the new reproducing kernel space. Compared with known investigations, its ...
متن کاملA Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel
Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where . Stability and convergence in norm are discussed through energy method. Numerical examples are provided to confirm the theoretical prediction ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Voronezh Scientific-Technical Bulletin
سال: 2020
ISSN: 2311-8873
DOI: 10.34220/2311-8873-2020-3-3-16-19