Academic Journal
Existence and Uniqueness Results for Generalized Non-local Hallaire-Luikov Moisture Transfer Equation: Existence and uniqueness results for generalized non-local Hallaire-Luikov moisture transfer equation
| Title: | Existence and Uniqueness Results for Generalized Non-local Hallaire-Luikov Moisture Transfer Equation: Existence and uniqueness results for generalized non-local Hallaire-Luikov moisture transfer equation |
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| Authors: | Asim Ilyas, Salman A. Malik, Kamran Suhaib |
| Source: | Acta Applicandae Mathematicae. 195 |
| Publisher Information: | Springer Science and Business Media LLC, 2025. |
| Publication Year: | 2025 |
| Subject Terms: | Inverse problems for PDEs, Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Inverse problems in thermodynamics and heat transfer, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse problem, Hallaire-Luikov moisture transfer equation, Fractional partial differential equations, ill-posedness, Hilfer derivative, Mittag-Leffer-type functions |
| Description: | This article focuses on inverse problem for Hallaire-Luikov moisture transfer equation involving Hilfer fractional derivative in time. Hallaire-Luikov equation is used to study heat and mass transfer in capillary-porous bodies. Spectral expansion method is used to find the solution of the inverse problem. By imposing certain conditions on the functions involved and utilizing certain properties of multinomial Mittag-Leffler function, it is shown that the solution to the equation, known as the inverse problem, is regular and unique. Moreover, the inverse problem exhibits ill-posedness in the sense of Hadamard. The article ends with an example to demonstrate these theoretical findings. |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 1572-9036 0167-8019 |
| DOI: | 10.1007/s10440-025-00712-2 |
| Access URL: | https://zbmath.org/7991512 https://doi.org/10.1007/s10440-025-00712-2 |
| Rights: | CC BY |
| Accession Number: | edsair.doi.dedup.....2fceb7764475ab5bada0d5f21b3f3cb1 |
| Database: | OpenAIRE |
| ISSN: | 15729036 01678019 |
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| DOI: | 10.1007/s10440-025-00712-2 |