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We give the existence theorem of piecewise weighted pseudo almost periodic mild solutions for impulsive integro-differential equations with fractional order $$1 Click to show full abstract
We give the existence theorem of piecewise weighted pseudo almost periodic mild solutions for impulsive integro-differential equations with fractional order $$1<\alpha <2$$, where A is a linear closed and densely defined operator of sectorial type in a complex Banach space $${{\mathbb {X}}}$$. The main results are obtained by Banach contraction mapping principle. An example is given to illustrate the main results.
Keywords:
impulsive integro;
integro differential;
piecewise weighted;
pseudo almost;
differential equations;
weighted pseudo
Journal Title: Banach Journal of Mathematical Analysis
Year Published: 2020
Link to full text (if available)
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Journal Title: Banach Journal of Mathematical Analysis
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!