Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique

被引：0
|
作者：
Amar Benkerrouche
Dumitru Baleanu
Mohammed Said Souid
Ali Hakem
Mustafa Inc
机构：
[1] Djillali Liabes University,Laboratory ACEDP
[2] Cankaya University,Department of Mathematics
[3] Institute of Space Sciences,Department of Economic Sciences
[4] University of Tiaret,Department of Computer Engineering
[5] Biruni University,Science Faculty, Department of Mathematics
[6] Firat University,Department of Medical Research, China Medical University Hospital
[7] China Medical University,undefined
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fractional differential equations of variable order; Boundary value problem; Darbo’s fixed point theorem; Measure of noncompactness; Ulam–Hyers–Rassias stability; 26A33; 34K37;
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摘要：
In the present research study, for a given multiterm boundary value problem (BVP) involving the Riemann-Liouville fractional differential equation of variable order, the existence properties are analyzed. To achieve this aim, we firstly investigate some specifications of this kind of variable-order operators, and then we derive the required criteria to confirm the existence of solution and study the stability of the obtained solution in the sense of Ulam-Hyers-Rassias (UHR). All results in this study are established with the help of the Darbo’s fixed point theorem (DFPT) combined with Kuratowski measure of noncompactness (KMNC). We construct an example to illustrate the validity of our observed results.
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