Abstract
In this paper, we study a class of nonlinear multiple base points impulsive fractional differential equations involving the three-point boundary conditions. A new result on the existence of a solution is established by using fixed point theorems. An example is presented to illustrate the result.
Highlights
The fractional differential equations have received increasing attention during recent years and have been studied extensively (e.g., [ – ] and the references therein)
We study the following the threepoint boundary value problem of nonlinear multiple base points fractional differential equations with impulse:
Some recent results on the solvability of boundary value problems of differential equations involving Caputo fractional derivatives can be found in many papers [ – ]
Summary
The fractional differential equations have received increasing attention during recent years and have been studied extensively (e.g., [ – ] and the references therein). We study the following the threepoint boundary value problem of nonlinear multiple base points fractional differential equations with impulse: Some recent results on the solvability of boundary value problems of differential equations involving Caputo fractional derivatives can be found in many papers [ – ].
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