Coupled systems of subdifferential type with integral perturbation and fractional differential equations

Abstract

This paper is mainly devoted to study a class of first-order differential inclusions governed by time-dependent subdifferential operators involving an integral perturbation. Employing then the constructive method used there, we also handle the associated second-order differential inclusion. Our final topic, accomplished in infinite-dimensional Hilbert spaces, is to develop some variants related to coupled systems by such differential inclusions and fractional differential equations.

Keywords

• Differential inclusion
• subdifferential operator
• integral perturbation
• fixed point
• fractional derivative

References

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