On nonlocal fractional q-integral boundary value problems of fractional q-difference and fractional q-integrodifference equations involving different numbers of order and q
نویسندگان
چکیده
منابع مشابه
Nontrivial solutions for fractional q-difference boundary value problems
In this paper, we investigate the existence of nontrivial solutions to the nonlinear q-fractional boundary value problem (D q y)(x) = −f(x, y(x)), 0 < x < 1, y(0) = 0 = y(1), by applying a fixed point theorem in cones.
متن کاملAnti-periodic boundary value problems involving nonlinear fractional q-difference equations
In this paper, we consider a class of anti-periodic boundary value problems involving nonlinear fractional q-difference equations. Some existence and uniqueness results are obtained by applying some standard fixed point theorems. As applications, some examples are presented to illustrate the main results.
متن کاملPOSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS INVOLVING NONLINEAR FRACTIONAL q–DIFFERENCE EQUATIONS
In this work, we investigate the eigenvalue intervals of nonlinear boundary value problems involving fractional q -difference equations by means of the properties of the Green function and Guo-Krasnosel’skii fixed point theorem on cones. Furthermore, some sufficient conditions for the nonexistence and existence of at least one or two positive solutions for the boundary value problem are establi...
متن کاملQ-integral Equations of Fractional Orders
The aim of this paper is to study the existence of solutions for a class of q-integral equations of fractional orders. The techniques in this work are based on the measure of non-compactness argument and a generalized version of Darbo’s theorem. An example is presented to illustrate the obtained result.
متن کاملEXISTENCE RESULTS FOR MULTI-POINT BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL q-DIFFERENCE EQUATIONS
In this paper, by using the Schauder fixed point theorem and the Banach contraction principle, we investigate existence and uniqueness of solutions for a class of multi-point boundary value problems of nonlinear fractional q-difference equations. As applications, two examples are presented to show the effectiveness of the obtained results.
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: Boundary Value Problems
سال: 2016
ISSN: 1687-2770
DOI: 10.1186/s13661-016-0522-x