On mild solutions of a semilinear mixed Volterra-Fredholm functional integrodifferential evolution nonlocal problem in Banach spaces

Authors

  • Kamalendra Kumar Department of Mathematics, SRMS College of Engineering & Technology, Bareilly-243001, India
  • Rakesh Kumar Department of Matematics, Hindu College , Moradabad, India
  • Manoj Karnatak Department of Matematics, Hindu College , Moradabad, India

DOI:

https://doi.org/10.11113/matematika.v32.n2.798

Abstract

The existence, uniqueness and continuous dependence on initial data of mild solutions of nonlocal mixed Volterra-Fredholm functional integrodifferential equations with delay in Banach spaces has been discussed and proved in the present paper. The results are established by using the semigroup theory and modified version of Banach contraction theorem.

Author Biographies

  • Kamalendra Kumar, Department of Mathematics, SRMS College of Engineering & Technology, Bareilly-243001, India
    Assistant Prof. Department of matematics, SRMS College of Engg. & Tech., Bareilly, India
  • Rakesh Kumar, Department of Matematics, Hindu College , Moradabad, India
    Assistant prof. Department of Matematics, Hindu College, Moradabad
  • Manoj Karnatak, Department of Matematics, Hindu College , Moradabad, India
    Reseaarch Scholar, Department of Matematics, Hindu College, Moradabad

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Published

27-04-2017

Issue

Volume 32 (December 2016)

Section

Articles

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Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

On mild solutions of a semilinear mixed Volterra-Fredholm functional integrodifferential evolution nonlocal problem in Banach spaces. (2017). MATEMATIKA, 32(2), 133-140. https://doi.org/10.11113/matematika.v32.n2.798