A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability

被引：0
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作者：
Mehboob Alam
Akbar Zada
Ioan-Lucian Popa
Alireza Kheiryan
Shahram Rezapour
Mohammed K. A. Kaabar
机构：
[1] University of Peshawar,Department of Mathematics
[2] 1 Decembrie 1918 University of Alba Iulia,Department of Exact Science and Engineering
[3] Azarbaijan Shahid Madani University,Department of Mathematics
[4] China Medical University Hospital,Department of Medical Research
[5] University of Malaya,Institute of Mathematical Sciences
[6] Washington State University,Department of Mathematics and Statistics
来源：
Boundary Value Problems | / 2021卷
关键词：
Caputo fractional derivative; Hybrid fractional differential equation and inclusion; Thermostat modeling; 34A08; 34A12;
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摘要：
In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative. By utilizing the Laplace transform technique, the existence of solution is accomplished. By applying the Bielecki-norm and the classical fixed point theorem, the Ulam stability results of the studied system are presented. An illustrative example is provided at the last part to validate all our obtained theoretical results.
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