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A study on existence of solutions for fractional functional differential equations

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Abstract

In this research article, we establish the existence results of mild solutions for semi-linear impulsive neutral fractional order integro-differential equations with state dependent delay subject to nonlocal initial condition by applying well known classical fixed point theorems. At last, we present an example of partial derivative to illuminate the results.

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Authors and Affiliations

  1. DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi, 221005, India

    Ganga Ram Gautam

  2. Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Jaydev Dabas

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  1. Ganga Ram Gautam
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  2. Jaydev Dabas
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Correspondence to Ganga Ram Gautam.

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Gautam, G.R., Dabas, J. A study on existence of solutions for fractional functional differential equations. Collect. Math. 69, 25–37 (2018). https://doi.org/10.1007/s13348-016-0189-8

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  • DOI: https://doi.org/10.1007/s13348-016-0189-8

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