Precise Conditions on the Unique Solvability of the Linear Fractional Functional Differential Equations Related to the <i>ς</i>-Nonpositive Operators
Exact conditions for the existence of the unique solution of a boundary value problem for linear fractional functional differential equations related to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ς</...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/10/720 |
| Summary: | Exact conditions for the existence of the unique solution of a boundary value problem for linear fractional functional differential equations related to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ς</mi></semantics></math></inline-formula>-nonpositive operators are established. The exact solvability conditions are based on the a priori estimation method. All theoretical investigations are illustrated by an example of the pantograph-type model from electrodynamics. |
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| ISSN: | 2504-3110 |