[PDF] Top 20 Existence of solutions for fractional multi point boundary value problems at resonance with three dimensional kernels

... on fractional calculus theory, we refer to [1–5]. Fractional differential equations as an application of fractional calculus have recently been viewed as a useful mathematical model applied in ... See full document

... Leggett-Williams norm-type theorem, the existence of pos- itive solutions was obtained by O’Regan and Zima [18]. Later, Yang [19], Jiang [20, 21] and other scholars made further research on this kind of ... See full document

... with boundary conditions at resonance with the kernel of four dimensions was considered and an existence result for a coupled system of nonlinear frac- tional differential equations with ... See full document

... of fractional calculus has gained considerable popularity during the past decades, due mainly to its frequent appearance in a variety of different areas such as physics, aerodynamics, polymer rheology, ...solving ... See full document

... This section is to provide one illustrative example of Theorem .. Before presenting the example, we should note that giving such a significant example is a challenging task in the case that H is infinite ... See full document

... -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ...the existence of general nonlinear multi-point ... See full document

... m-point boundary value problems for ordinary di ff erential equations arise in a va- riety of different areas of applied mathematics and ...the existence of positive solutions for ... See full document

... of fractional differen- tial equations with p(t)-Laplacian operator have been quite limited so far (see ...the existence of solutions for the following BVP with p(t)-Laplacian operator at nonresonance ... See full document

... are elements of R n , B and D are n × n matrices, and in order to have a linearly independent system of boundary conditions, we assume the augmented matrix [B|D] has full row rank. ε is a “small” real parameter, ... See full document

... the existence of solutions for BVP ...at resonance case, and establish some existence theorems under nonlinear growth restriction of ...The boundary value problems ... See full document

... the existence of positive solutions for resonant problem ...non-perturbed boundary value problems at resonance to equivalent non-resonant perturbed problems with the same ... See full document

... Fixed Point Theorem ...discrete boundary value problems [19], ...of problems in differential and difference equations [3], [12], ... See full document

... The fractional theory and its applications are mentioned by many papers and monographs, we refer ...nonlinear fractional boundary value problem, many fixed point theorems were applied ... See full document

... for existence of positive solutions to boundary value problems for fractional order differential equa- tions, we refer to [–] and the references ...of fractional ... See full document

... order. Fractional order derivatives provide a new approach for modeling complex phenomena in physics, mechanics, control systems, flow in porous media, signal and image processing, aerodynamics, electromagnetics, ... See full document

... The paper is arranged as follows: In Section , we introduce some definitions for frac- tional order differential equations and give our main results for the boundary value prob- lem (.)-(.). We give some ... See full document

... Trofimchuk, Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator, Nonlinear ... See full document

... The main features in this paper are as follows. First, we study two new multi-point BVPs on time scales at resonance, which have rarely been considered, and thus we need to over- come some new ... See full document

... second-order three-point integral boundary value problems at resonance is investigated in this ...intermediate value theorems, we obtain a sufficient condition for the ... See full document

... the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional ... See full document