Abstract
In this paper, we prove the existence of solutions for an anti-periodic boundary value problem of nonlinear impulsive fractional differential equations by applying some known fixed point theorems. Some examples are presented to illustrate the main results.
Highlights
Fractional differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the fields of physics, chemistry, aerodynamics, electrodynamics of complex medium, polymer rheology, etc. involves derivatives of fractional order([1]-[3])
The interest in the study of fractionalorder differential equations lies in the fact that fractional-order models are found to be more accurate than the classical integer-order models, that is, there are more degrees of freedom in the fractional-order models
Fractional differential equations serve as an excellent tool for the description of hereditary properties of various materials and processes
Summary
Fractional differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the fields of physics, chemistry, aerodynamics, electrodynamics of complex medium, polymer rheology, etc. involves derivatives of fractional order([1]-[3]). Impulsive differential equations arising from the real world describe the dynamics of processes in which sudden, discontinuous jumps occur. Such processes are naturally seen in biology, physics, engineering, etc. Due to their significance, it is important to study the solvability of impulsive differential equations. Anti-periodic problems constitute an important class of boundary value problems and have recently received considerable attention. For some recent work on anti-periodic boundary value problems of fractional differential equations, see ([36]-[40]) and the references therein. Motivated by the above-mentioned work on anti-periodic and impulsive boundary value problems of fractional order, in this paper, we study the following problem.
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