Analysis of Fractional Integro–Differential Equation with Robin Boundary Conditions Using Topological Degree Method
In this work, we investigate the existence results of the integro-differential equation with the Robin Boundary Condition (RBC). We establish some results to prove the existence using Topological Degree Theory (TDT). The analysis is to be explained with a suitable example. We observe that the use of...
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| Veröffentlicht in: | International journal of applied and computational mathematics 2022-08, Vol.8 (4), Article 176 |
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| creator | Kaliraj, K. Viswanath, K. S. Logeswari, K. Ravichandran, C. |
| description | In this work, we investigate the existence results of the integro-differential equation with the Robin Boundary Condition (RBC). We establish some results to prove the existence using Topological Degree Theory (TDT). The analysis is to be explained with a suitable example. We observe that the use of fixed-point theory would require the imposition of stronger conditions. Hence, we make use of Topological Degree Theory, which requires comparatively weaker conditions. This showcases the wide range applicability of TDT in analysis of various problems. |
| doi_str_mv | 10.1007/s40819-022-01379-1 |
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| subjects | Applications of Mathematics Applied mathematics Boundary conditions Computational mathematics Computational Science and Engineering Differential equations Differential thermal analysis Fixed points (mathematics) Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nuclear Energy Operations Research/Decision Theory Original Paper Theoretical Topology |
| title | Analysis of Fractional Integro–Differential Equation with Robin Boundary Conditions Using Topological Degree Method |
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