On existence, uniqueness and Ulam’s stability results for boundary value problems of fractional iterative integrodifferential equations

被引:0
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作者
S. D. Kendre
S. I. Unhale
机构
[1] Savitribai Phule Pune University,Department of Mathematics
[2] C.K. Thakur Arts,Department of Mathematics
[3] Commerce and Science College,undefined
关键词
Iterative integrodifferential equation; Boundary value problems; Ulam’s stability; Caputo fractional derivative; Banach contraction principle; Fixed point; 26A33; 34K12; 34A40; 35B60; 45B05; 45D05; 45N05; 45G15;
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摘要
The author’s aim in the given paper is to study local existence, uniqueness, Ulam–Hyers stability and generalized Ulam–Hyers stability of solutions for boundary value problems of fractional iterative integrodifferential equations. The successive approximation method is applied for the numerical solution of boundary value problems of fractional iterative integrodifferential equations.
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页码:503 / 517
页数:14
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