Boundary Value Problems for q-Difference Inclusions
نویسندگان
چکیده
and Applied Analysis 3 and for a 0, we denote Iqf x ∫x 0 f t dqt ∞ ∑ n 0 x ( 1 − qqnfxqn, 2.4 provided the series converges. If a ∈ 0, b and f is defined in the interval 0, b , then ∫b a f t dqt ∫b 0 f t dqt − ∫a 0 f t dqt. 2.5 Similarly, we have I0 qf t f t , I n q f t IqI n−1 q f t , n ∈ . 2.6
منابع مشابه
An Existence Theorem for Fractional q-Difference Inclusions with Nonlocal Substrip Type Boundary Conditions
By employing a nonlinear alternative for contractive maps, we investigate the existence of solutions for a boundary value problem of fractional q-difference inclusions with nonlocal substrip type boundary conditions. The main result is illustrated with the aid of an example.
متن کاملSome Existence Results for Boundary Value Problems of Fractional Differential Inclusions with Non-separated Boundary Conditions
In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order q ∈ (1, 2] with non-separated boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
متن کاملInverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions
This paper deals with the boundary value problem involving the differential equation ell y:=-y''+qy=lambda y, subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d+0)=a y(d-0), y'(d+0)=ay'(d-0)+b y(d-0). In this problem q(x), d, a , b are real, qin L^2(0,pi), din(0,pi) and lambda is a parameter independent of x. By defining a new...
متن کاملPositive Solutions for Nonlinear Caputo Type Fractional q-Difference Equations with Integral Boundary Conditions
Since Al-Salam [1] and Agarwal [2] introduced the fractional q-difference calculus, the theory of fractional q-difference calculus itself and nonlinear fractional q-difference equation boundary value problems have been extensively investigated by many researchers. For some recent developments on fractional q-difference calculus and boundary value problems of fractional q-difference equations, s...
متن کاملA Consistent and Accurate Numerical Method for Approximate Numerical Solution of Two Point Boundary Value Problems
In this article we have proposed an accurate finite difference method for approximate numerical solution of second order boundary value problem with Dirichlet boundary conditions. There are numerous numerical methods for solving these boundary value problems. Some these methods are more efficient and accurate than others with some advantages and disadvantages. The results in experiment on model...
متن کامل