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Articles

Symmetric Solutions of Nonlinear Fractional Integral Equations via a New Fixed Point Theorem under FG-Contractive Condition

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Pages 1448-1466 | Received 24 Sep 2017, Accepted 30 Mar 2019, Published online: 14 May 2019

References

  • Agarwal, R. P., Asma, A., Lupulescu, V., O'Regan, D. (2017). Lp-solutions for a class of fractional integral equations. J. Integral Equ. Appl. 29(2):251–270. DOI: 10.1216/JIE-2017-29-2-251.
  • Arab, R., Allahyari, R., Haghighi, A. (2016). Existence of solutions of infinite systems of integral equations in frechet spaces. Int. J. Nonlinear Anal. Appl. 7(2):205–216.
  • Ibrahim, R. W., Darus, M. (2013). Weakly solutions for fractional integral equation: Volterra type. Int. J. Modern Theor. Phys. 2(1):42–52.
  • Ibrahim, R. W. (2017). Fractional Calculus of Multi-Objective Functions & Multi-Agent Systems. Saarbrücken: Lambert Academic Publishing.
  • Kilbas, A. A., Srivastava, H. M., Trujillo, J. J. (2006). Theory and Applications of Fractional Differential Equations. North-Holland, Mathematics Studies. Amsterdam: Elsevier,
  • Wardowski, D. (2012). Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theor. Appl. 2012:94. DOI: 10.1186/1687-1812-2012-94.
  • Parvaneh, V., Hussain, N., Kadelburg, Z. (2016). Generalized wardowski type fixed point theorems via α-admissible FG-contractions in b-metric spaces. Acta Math. Sci. 36B(5):1445–1456. DOI: 10.1016/S0252-9602(16)30080-7.
  • Radenović, S., Kadelburg, Z., Jandrlić, D., Jandrlić, A. (2012). Some results on weak contraction maps. Bull. Iran. Math. Soc. 38(3):625–645.
  • Jungck, G. (1986). Compatible mappings and common fixed points. Int. J. Math. Math. Sci. 9(4):771–779. DOI: 10.1155/S0161171286000935.
  • Ðukić, D., Kadelburg, Z., Radenović, S. (2011). Fixed points of geraghty-type mappings in various generalized metric spaces. Abstract Appl. Anal. 2011:1–13. DOI: 10.1155/2011/561245.
  • Geraghty, M. (1973). On contractive mappings. Proc. Amer. Math. Soc. 40(2):604–608. DOI: 10.1090/S0002-9939-1973-0334176-5.
  • Geyer, A. (2015). Symmetric waves are traveling waves for a shallow water equation modeling surface waves of moderate amplitude. J. Nonlinear Math. Phys. 22(4):545–551. DOI: 10.1080/14029251.2015.1129492.
  • Gasull, A., Geyer, A. (2014). Traveling surface waves of moderate amplitude in shallow water. Nonlinear Anal. Theor. Methods Appl. 102(100):105–119. DOI: 10.1016/j.na.2014.02.005.]

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