• 제목/요약/키워드: fractional Hammerstein integro-differential equations

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SOLVABILITY OF SOME NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER VIA MEASURE OF NONCOMPACTNESS

  • Dadsetadi, Somayyeh;Nouri, Kazem;Torkzadeh, Leila
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제27권1호
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    • pp.13-24
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    • 2020
  • 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.