Existence Results of Global Solutions for a Coupled Implicit Riemann-Liouville Fractional Integral Equation via the Vector Kuratowski Measure of Noncompactness
نویسندگان
چکیده
The main goal of this study is to demonstrate an existence result a coupled implicit Riemann-Liouville fractional integral equation. First, we prove new fixed point theorem in spaces with extended norm structure. That generalized Darbo’s associated the vector Kuratowski measure noncompactness. Second, employ our obtained investigate solutions equation on Banach space C([0,1],R)×C([0,1],R).
منابع مشابه
Existence of Solutions for a System of Integral Equations via Measure of Noncompactness
Using the techniques of measures of noncompactness and Darbo fixed point theorem, we present some existence results for solutions of systems of nonlinear equations in Banach spaces. Also, as an application, we discuss the existence of solutions for a general system of nonlinear functional integral equations, which extends some previous results in the literature. An example is given to show the ...
متن کاملIntegral Inequalities for h(x)-Riemann-Liouville Fractional Integrals
In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.
متن کاملexistence of solutions for a class of functional integral equations of volterra type in two variables via measure of noncompactness
this paper presents some results concerning the existence of solutions for a functional integral equation of volterra type in two variables, via measure of noncompactness. two examples are included to illustrate the main result.
متن کاملGlobal Attractivity of Solutions for Nonlinear Fractional Order Riemann-Liouville Volterra-Stieltjes Partial Integral Equations
Integral equations are one of the most useful mathematical tools in both pure and applied analysis. This is particularly true of problems in mechanical vibrations and the related fields of engineering and mathematical physics. We can find numerous applications of differential and integral equations of fractional order in viscoelasticity, electrochemistry, control, porous media, electromagnetism...
متن کاملExistence and stability results for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes quadratic integral equations
Keywords: Volterra–Stieltjes integral equation Fractional integral–differential equations Riemann–Liouville fractional operators Existence and stability of solutions Fixed point a b s t r a c t Our aim in this paper is to study the existence and the stability of solutions for Riemann–Liouville Volterra–Stieltjes quadratic integral equations of fractional order. Our results are obtained by using...
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: Fractal and fractional
سال: 2022
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract6030130