Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents
نویسندگان
چکیده
منابع مشابه
Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems
In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.
متن کاملExistence and Uniqueness Result of Solutions to Initial Value Problems of Fractional Differential Equations of Variable-order
In this work, an initial value problem is discussed for a fractional differential equation of variable-order. By means of some analysis techniques and Arzela-Ascoli theorem, existence result of solution is obtained; Using the upper solutions and lower solutions and monotone iterative method, uniqueness existence results of solutions are obtained.
متن کاملexistence and uniqueness of solutions for p-laplacian fractional order boundary value problems
in this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-laplacian fractional order differential equations. we use schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. we include some examples to show the applicability of our results.
متن کاملExistence and uniqueness of weak solutions for a class of nonlinear divergence type diffusion equations
In this paper, we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations. By a priori estimates, difference and variation techniques, we establish the existence and uniqueness of weak solutions of this problem.
متن کاملWeak Heteroclinic Solutions and Competition Phenomena to Anisotropic Difference Equations with Variable Exponents
where ∆u(k) = u(k+1)−u(k) is the forward difference operator, Z∗ := {k ∈ Z : k 6= 0} and a, α, δ, f, g are functions to be defined later. Difference equations can be seen as a discrete counterpart of PDEs and are usually studied in connection with numerical analysis. In this way, the main operator in Problem (1.1) −∆(a(k − 1,∆u(k − 1))) can be seen as a discrete counterpart of the anisotropic o...
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: Journal of Function Spaces
سال: 2021
ISSN: 2314-8888,2314-8896
DOI: 10.1155/2021/6686213