The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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SOLVABILITY OF SOME NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER VIA MEASURE OF NONCOMPACTNESS

  • Dadsetadi, Somayyeh (Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University) ;
  • Nouri, Kazem (Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University) ;
  • Torkzadeh, Leila (Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University)
  • Received : 2018.12.07
  • Accepted : 2019.12.27
  • Published : 2020.02.29
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Abstract

In this article, we investigate the solvability of nonlinear fractional integro-differential equations of the Hammerstein type. The results are obtained using the technique of measure of noncompactness and the Darbo theorem in the real Banach space of continuous and bounded functions in the interval [0, a]. At the end, an example is presented to illustrate the effectiveness of the obtained results.

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References

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