一类混合分数阶微分方程边值问题的存在性结果

Shaista Gul, R. Khan
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摘要

. 本文研究了一类非线性边值问题(BVPs),它由更一般的序列混合分数阶方程(SHFDEs)和在区域两端的非线性边界条件组成。所涉及的非线性函数明确地依赖于分数阶导数。利用非紧性测度技术和度理论,研究了在卡拉多条件下所建议的BVPs系统解存在的必要条件。我们也给出了唯一性结果的条件和稳定性分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Existence results for a system of boundary value problems for hybrid fractional differential equations
. In this paper, we study a system of nonlinear boundary value problems (BVPs) con- sisting of more general class of sequential hybrid fractional equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear func- tions involved depend explicitly on the fractional derivatives. We study necessary conditions required for existence of solutions to the suggested system of BVPs under the Caratheodory con- ditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.
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