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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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참고문헌 (26)
참고문헌 신청
A. Aghajani / 2012 / On the existence of solutions of fractional integro-differential equations / Fract. Calc. Appl. Anal. 15(1):44~69
B. Ahmad / 2016 / Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions / Bound. Value. Probl 205:1~16
O. Baghani / 2012 / Existence, uniqueness and stability of solu-tions for a class of nonlinear integral equations under generalized Lipschitz condition / Indian J. Pure Appl. Math. 43(4):309~321
K. Balachandran / 2011 / Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators / Comput. Math. Appl. 62(3):1350~1358
K. Balachandran / 2011 / Existence results for fractional impulsive integrodifferential equations in Banach spaces / Commun. Nonlinear. Sci. numer. simulat. 16(4):1970~1977
B. Ahmad / 2016 / Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions / Bound. Value. Probl 205:1~16
O. Baghani / 2012 / Existence, uniqueness and stability of solu-tions for a class of nonlinear integral equations under generalized Lipschitz condition / Indian J. Pure Appl. Math. 43(4):309~321
K. Balachandran / 2011 / Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators / Comput. Math. Appl. 62(3):1350~1358
K. Balachandran / 2011 / Existence results for fractional impulsive integrodifferential equations in Banach spaces / Commun. Nonlinear. Sci. numer. simulat. 16(4):1970~1977
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