Abstract
Abstract A class of nonlinear fractional multipoint boundary value problems at resonance is considered in this article. The existence results are obtained by the method of the coincidence degree theory of Mawhin. An example is given to illustrate the results. MSC:34A08.
Highlights
The subject 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, etc
Many methods have been introduced for solving fractional differential equations (FDEs for short in the remaining), such as the Laplace transform method, the iteration method, the Fourier transform method, etc
There have been many works related to the existence of solutions for multipoint boundary value problems (BVPs for short in the remaining) at nonresonance of FDEs
Summary
The subject 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, etc. (see [ – ]). In , Bai and Jiang studied the fractional differential equation of boundary value problems at resonance with the case of dim Ker L = respectively (see [ , ]), and we can see that they obtained the results by the assumption that a specific algebraic expression is not equal to zero; for example, R = ηα α (α) (α – ) ( α – )
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