Fractional derivative order analysis and temperature-dependent properties on p- and SV-waves reflection under initial stress and three-phase-lag model
The paper primarily aims to examine the fractional effect and explore the impact of temperature-dependent properties and primary stress on reflecting plane and secondary vertically waves using the three-phase-lag model (THPL). Its problem has been formulated by neglecting the body force and external...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-09-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972031737X |
| _version_ | 1831679308529139712 |
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| author | S.M. Abo-Dahab A.A. Kilany Emad A.-B. Abdel-Salam A. Hatem |
| author_facet | S.M. Abo-Dahab A.A. Kilany Emad A.-B. Abdel-Salam A. Hatem |
| author_sort | S.M. Abo-Dahab |
| collection | DOAJ |
| description | The paper primarily aims to examine the fractional effect and explore the impact of temperature-dependent properties and primary stress on reflecting plane and secondary vertically waves using the three-phase-lag model (THPL). Its problem has been formulated by neglecting the body force and external heat source and having initial stress and temperature-dependent under THPL theory in its fractional form (conformable fractional derivatives). The boundary conditions were applied taking into account mechanical stresses and temperature-dependence. A comparison between analytical and fractional solutions for the problem was made to get the solution included in the fractional orders. The authors analyzed the findings. They presented the findings graphically to illustrate the physical meaning of the issue under study. If the problem considered is in integer form, we strongly included that the results obtained agree with the results obtained by Abo-Dahab et al. (2020). |
| first_indexed | 2024-12-20T05:17:18Z |
| format | Article |
| id | doaj.art-d69af3cd493a4522988312c8a642bf0e |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-20T05:17:18Z |
| publishDate | 2020-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-d69af3cd493a4522988312c8a642bf0e2022-12-21T19:52:07ZengElsevierResults in Physics2211-37972020-09-0118103270Fractional derivative order analysis and temperature-dependent properties on p- and SV-waves reflection under initial stress and three-phase-lag modelS.M. Abo-Dahab0A.A. Kilany1Emad A.-B. Abdel-Salam2A. Hatem3Department of Mathematics Faculty of Science, South Valley University, Qena 83523, EgyptDepartment of Mathematics, Faculty of Science, Sohag University, EgyptDepartment of Mathematics, Faculty of Science, New Valley University, Egypt; Corresponding author.Department of Mathematics, Faculty of Science, Umm Al-Qura University, Saudi ArabiaThe paper primarily aims to examine the fractional effect and explore the impact of temperature-dependent properties and primary stress on reflecting plane and secondary vertically waves using the three-phase-lag model (THPL). Its problem has been formulated by neglecting the body force and external heat source and having initial stress and temperature-dependent under THPL theory in its fractional form (conformable fractional derivatives). The boundary conditions were applied taking into account mechanical stresses and temperature-dependence. A comparison between analytical and fractional solutions for the problem was made to get the solution included in the fractional orders. The authors analyzed the findings. They presented the findings graphically to illustrate the physical meaning of the issue under study. If the problem considered is in integer form, we strongly included that the results obtained agree with the results obtained by Abo-Dahab et al. (2020).http://www.sciencedirect.com/science/article/pii/S221137972031737X3HPLTemperature-dependentP-, T- and SV-wavesConformable fractional derivativeInitial stressFractional derivative |
| spellingShingle | S.M. Abo-Dahab A.A. Kilany Emad A.-B. Abdel-Salam A. Hatem Fractional derivative order analysis and temperature-dependent properties on p- and SV-waves reflection under initial stress and three-phase-lag model Results in Physics 3HPL Temperature-dependent P-, T- and SV-waves Conformable fractional derivative Initial stress Fractional derivative |
| title | Fractional derivative order analysis and temperature-dependent properties on p- and SV-waves reflection under initial stress and three-phase-lag model |
| title_full | Fractional derivative order analysis and temperature-dependent properties on p- and SV-waves reflection under initial stress and three-phase-lag model |
| title_fullStr | Fractional derivative order analysis and temperature-dependent properties on p- and SV-waves reflection under initial stress and three-phase-lag model |
| title_full_unstemmed | Fractional derivative order analysis and temperature-dependent properties on p- and SV-waves reflection under initial stress and three-phase-lag model |
| title_short | Fractional derivative order analysis and temperature-dependent properties on p- and SV-waves reflection under initial stress and three-phase-lag model |
| title_sort | fractional derivative order analysis and temperature dependent properties on p and sv waves reflection under initial stress and three phase lag model |
| topic | 3HPL Temperature-dependent P-, T- and SV-waves Conformable fractional derivative Initial stress Fractional derivative |
| url | http://www.sciencedirect.com/science/article/pii/S221137972031737X |
| work_keys_str_mv | AT smabodahab fractionalderivativeorderanalysisandtemperaturedependentpropertiesonpandsvwavesreflectionunderinitialstressandthreephaselagmodel AT aakilany fractionalderivativeorderanalysisandtemperaturedependentpropertiesonpandsvwavesreflectionunderinitialstressandthreephaselagmodel AT emadababdelsalam fractionalderivativeorderanalysisandtemperaturedependentpropertiesonpandsvwavesreflectionunderinitialstressandthreephaselagmodel AT ahatem fractionalderivativeorderanalysisandtemperaturedependentpropertiesonpandsvwavesreflectionunderinitialstressandthreephaselagmodel |