Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method

Abstract

Abstract This research work is dedicated to investigating a class of impulsive fractional order differential equations under the Robin boundary conditions via the application of topological degree theory (TDT). We establish some adequate results for the existence of at most one solution for the consider problem. Further, the whole analysis is illustrated by providing a pertinent example. We keep in mind that the conditions we develop by using TDT are much weaker than using ordinary fixed point theory. Hence TDT can be used as powerful tool for the theoretical analysis of many linear and nonlinear problems.

Keywords

• Fractional differential equations
• Impulsive problems
• Robin boundary conditions
• Topological degree theory