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Stepanov-like weighted pseudo almost automorphic solutions to fractional order abstract integro-differential equations

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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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Acknowledgement

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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Authors and Affiliations

  1. School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, 175 001 H.P., India

    SYED ABBAS

  2. Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore, 641 114, India

    V KAVITHA

  3. Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, 641 020, India

    R MURUGESU

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  1. SYED ABBAS
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  2. V KAVITHA
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Correspondence to SYED ABBAS.

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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

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