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Solvability of some non-linear functional integral equations via measure of noncompactness

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In this study, we establish some results related to the existence of solutions for nonlinear functional integral equations, by Darbo's fixed point theorem in Banach algebra, which contains several functional integral equations that arise in mathematical analysis. As an application, we also provide an example of functional integral equations.

Abstract

In this study, we establish some results related to the existence of solutions for nonlinear functional integral equations, by Darbo's fixed point theorem in Banach algebra, which contains several functional integral equations that arise in mathematical analysis. As an application, we also provide an example of functional integral equations.

참고문헌 (24)

  1. A. Aghajani, "A generalization of Darbo theorem with application to the solvability of system of integral equations", Jounral of Computational and Applied Mathematics, 260, pp.68~77 (2014)
  2. R. Arab, "The existence of xed points via the measure of non-compactness and its application to functional-integral equations", Mediterr. J. Math, 13, pp.759~773 (2016)
  3. J. Banas, "Measures of Non-compactness in Banach Spaces" (1980), Mar-cel Dekker
  4. J. Banas, "Fixed points of the product of operators in Banach algebra", Panamer. Math. J, 12, pp.101~109 (2002)
  5. J. Banas, "On existence and asymptotic stability of solutions of a nonlinear integral equation", J. Math. Anal. Appl, 284, pp.165~173 (2003)
  6. J. Banas, "Solutions of some functional integral equations in Banach algebra", Math. Comput. Modelling, 38, pp.245~250 (2003)
  7. Alberto Cabada, "Existence of so-lutions of integral equationss with asymptotic conditions Nonlinear Analysis", Real World Applications, 42, pp.140~159 (2018)
  8. S. Chandrasekhar, "Radiative Thznsfer" (1950), Oxford Univ. Press
  9. C. Corduneanu, "Integral Equations and Applications" (1990), Cambridge University Press
  10. Deep A, "A numerical method for solvability of some non-linear functional integral equations", Applied Mathematics and Computation, 402, pp.125637~ (2021)
  11. Deep A, "Application of Petryshyn's FIxed point theorem to solvability for functional integral equations", Applied Mathematics and Com-putation, 395, pp.125878~ (2021)
  12. Deep A, "An existence result for Hadamard type frac-tional integral equations of two dimensions via measure of noncompactness", Chaos, Solitons & Fractals, 147, pp.110874~ (2021)[DOI]
  13. Deep A, "Solvability of functional stochastic integral equations via Darbos FIxed point theorem", Alexandria Engi-neering Journal, 60(6), pp.5631~5636 (2021)
  14. Deep A, "Solvability for two dimensional func-tional integral equations via Petryshyn's fixed point theorem", Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 115, pp.160~ (2021)
  15. Deepmala, "A study on some problems on existence of solutions for some nonlinear functional-integral equations", Acta Mathematica Scientia, 33(5), pp.1305~1313 (2013)
  16. Deepmala, "Study on existence of solutions for some nonlinear functional-integral equations with applications", Math. Commu, 18, pp.97~107 (2013)
  17. K. Deimling, "Nonlinear Functional Analysis" (1985), Springer-Verlag
  18. B. C. Dhage, "On a-condensing mappings in Banah algebras", The Math. Stu-dent, 63, pp.146~152 (1994)
  19. S. Hu, "Integral equations arising in the kinetic theory of gases", Appl. Anal, 34, pp.261~266 (1989)
  20. C. T. Kelly, "Approximation of solutions of some quadratic integral equations in transport theory", J. Integral Eq, 4, pp.221~237 (1982)
  21. K. Maleknejad, "Study on existence of solutions for some nonlinear functional integral equations", Nonlinear Analysis, 69, pp.2582~2588 (2008)
  22. K. Maleknejad, "Existence of solutions for some nonlinear integral equations", Commun. Nonlinear Sci. Numer. Simulat, 14, pp.2559~2564 (2009)
  23. K. Maleknejad, "Investigation on the existence of solutions for some nonlinear functional-integral equations", Nonlinear Analysis, 71, pp.1575~1578 (2009)
  24. Jamal Rezaei Roshan, "Existence of solutions for a class of system of functional integral equation via measure of non-compactness", Journal of Computational and Applied Mathematics, 313, pp.129~141 (2017)

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