Elsevier

Applied Mathematics Letters

Volume 97, November 2019, Pages 114-120
Applied Mathematics Letters

On the boundedness of nonoscillatory solutions of certain fractional differential equations with positive and negative terms

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Abstract

This paper deals with the boundedness of nonoscillatory solutions of the forced fractional differential equation with positive and negative terms CDcαy(t)+f(t,x(t))=e(t)+k(t)x(t)+h(t,x(t)),where tc, α(0,1), c>1, and CDcαy denotes the Caputo fractional derivative of y of order α. The cases where y(t)=a(t)x(t)andy(t)=a(t)x(t).are considered. The technique used can be applied to other related fractional differential equations. Examples are inserted to illustrate the relevance of the results obtained.

Keywords

Integro-differential equations
Fractional differential equations
Nonoscillatory solutions
Boundedness
Caputo derivative

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