Abstract
In this article, we study the concept of Stepanov-like weighted pseudo almost automorphic solutions to fractional order abstract integro-differential equations. We establish the results with Lipschitz condition and without Lipschitz condition on the forcing term. An interesting example is presented to illustrate the main findings. The results proven are new and complement the existing ones.
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The authors are thankful to the anonymous reviewer for his/her constructive comments and suggestions, which helped improve the manuscript considerably.
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Communicating Editor: Parameswaran Sankaran
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ABBAS, S., KAVITHA, V. & MURUGESU, R. Stepanov-like weighted pseudo almost automorphic solutions to fractional order abstract integro-differential equations. Proc Math Sci 125, 323–351 (2015). https://doi.org/10.1007/s12044-015-0235-6
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DOI: https://doi.org/10.1007/s12044-015-0235-6
Keywords
- Fractional order abstract integro-differential equations
- Stepanov-like weighted pseudo almost automorphy