Academic literature on the topic 'Soham Transform'

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Journal articles on the topic "Soham Transform"

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Khakale, Savita Santu, Kailas Sahadu Ahire, and Dinkar Pitambar Patil. "Soham Transform in Fractional Differential Equations." Indian Journal Of Science And Technology 17, no. 33 (2024): 3481–87. http://dx.doi.org/10.17485/ijst/v17i33.1383.

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Objectives: Soham transforms is one of the appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. Methods: Integral transform methods help to simplify fractional differential equations into algebraic equations. Enable the use of classical methods to solve fractional differential equations. Findings: In this paper, the Soham transform can solve linear homogeneous and non-homogeneous Fractional Differential Equations with constant coefficients. Finally, we use this integral transform to obtain the analytical solution of non-homogeneous fractional differential equations. Novelty: The Soham transform method is a suitable and very effective tool for obtaining analytical solutions of fractional differential equations with constant coefficients. Soham Transform is more multipurpose as the Laplace transform is limited to fractional differential equations. Soham Transform is in the development stage. Keywords: Soham Transform, Fractional Differential Equations, Integral transforms, Reimann­ Liouville Fractional Integral, Caputo Fractional Derivative
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Savita, Santu Khakale, Sahadu Ahire Kailas, and Pitambar Patil Dinkar. "Soham Transform in Fractional Differential Equations." Indian Journal of Science and Technology 17, no. 33 (2024): 3481–87. https://doi.org/10.17485/IJST/v17i33.1383.

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Abstract <strong>Objectives:</strong>&nbsp;Soham transforms is one of the appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes.&nbsp;<strong>Methods:</strong>&nbsp;Integral transform methods help to simplify fractional differential equations into algebraic equations. Enable the use of classical methods to solve fractional differential equations.&nbsp;<strong>Findings:</strong>&nbsp;In this paper, the Soham transform can solve linear homogeneous and non-homogeneous Fractional Differential Equations with constant coefficients. Finally, we use this integral transform to obtain the analytical solution of non-homogeneous fractional differential equations.&nbsp;<strong>Novelty:</strong>&nbsp;The Soham transform method is a suitable and very effective tool for obtaining analytical solutions of fractional differential equations with constant coefficients. Soham Transform is more multipurpose as the Laplace transform is limited to fractional differential equations. Soham Transform is in the development stage. <strong>Keywords:</strong> Soham Transform, Fractional Differential Equations, Integral transforms, Reimann&shy; Liouville Fractional Integral, Caputo Fractional Derivative
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Iyeme, E. E., and O. R. Okpo. "Introduction of New General Laplace-Type Integral Transform: The Iyeme-Okpo Transform." Journal of Applied Sciences and Environmental Management 29, no. 3 (2025): 725–28. https://doi.org/10.4314/jasem.v29i3.5.

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In this paper, a new general Laplace-type integral transform called Iyeme-Okpo transform that generalizes all the existing Laplace-type integral transforms has been introduced. Thus, existing integral transforms such as Laplace, Sumudu, Natural, Jafari, Elzaki, Mahgoub, Kamal, Mohand, Sawi, Aboodh, HY, Anuj, Y, Soham, G, Kushare, Emad-Falih, ZZ, SEE, Iman, R, and Formable transforms are special cases of this general transform. Also, we can introduce new Laplace-type integral transforms using this general transform.
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Patil, Dinkar Pitambar, Shivali Nanasaheb Wagh, and Tejas Popat Bachhav. "Solution of Abel's Integral Equation by using Soham Transform." International Journal of Innovative Science and Research Technology 7, no. 12 (2023): 296–303. https://doi.org/10.5281/zenodo.7563878.

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Integral transform play very important role in solving ordinary, partial as well as fractional differential equations. It is also useful for solving integral equations, integro-differential equations and system of equations. In this paper we use Soham transform for solving Abel&rsquo;s integral equations.
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Patil, Dinkar P., Yashashri S. Suryawanshi, and Mohini D. Nehete. "Application of Soham Transform for Solving Mathematical Models Occurring in Health Science and Biotechnology." INTERNATIONAL JOURNAL OF MATHEMATICS, STATISTICS AND OPERATIONS RESEARCH 2, no. 2 (2022): 273–88. http://dx.doi.org/10.47509/ijmsor.2022.v02i02.11.

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Lot of mathematical models including differential equations play important role in healthcare and biotechnology. One of them is Malthus model. This model was developed by Thomas Malthus, in his essay on world population growth and resource supply. Another interesting equation is Advection diffusion equation and Predator prey model. We use a integral transform called as Soham transform to obtain the solutions of these models which are important in biotechnology and health sciences.
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Alshibley, Samer Thaaban Abaas, and Ali Husein Hadi. "Fuzzy Soham transforms and its applications." Journal of Mathematical Problems, Equations and Statistics 5, no. 2 (2024): 135–44. https://doi.org/10.22271/math.2024.v5.i2b.163.

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Mahanta, Archita, Prabal Das, Nabendu Sen, and Pradosh Kiran Nath. "A comparative analysis of Soham and Laplace transforms in solving Volterra integral equations." International Journal of Mathematical Modelling and Numerical Optimisation 15, no. 1 (2025): 64–88. https://doi.org/10.1504/ijmmno.2025.145635.

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Thabit, Fatma N., Osama I. A. Negim, Mohamed A. E. AbdelRahman, Antonio Scopa, and Ali R. A. Moursy. "Using Various Models for Predicting Soil Organic Carbon Based on DRIFT-FTIR and Chemical Analysis." Soil Systems 8, no. 1 (2024): 22. http://dx.doi.org/10.3390/soilsystems8010022.

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Soil organic carbon (SOC) is a crucial factor influencing soil quality and fertility. In this particular investigation, we aimed to explore the possibility of using diffuse reflectance infrared fourier transform spectroscopy (DRIFT-FTIR) in conjunction with machine-learning models, such as partial least squares regression (PLSR), artificial neural networks (ANN), support vector regression (SVR) and random forest (RF), to estimate SOC in Sohag, Egypt. To achieve this, we collected a total of ninety surface soil samples from various locations in Sohag and estimated the total organic carbon content using both the Walkley-Black method and DRIFT-FTIR spectroscopy. Subsequently, we used the spectral data to develop regression models using PLSR, ANN, SVR, and RF. To evaluate the performance of these models, we used several evaluation parameters, including root mean square error (RMSE), coefficient of determination (R2), and ratio of performance deviation (RPD). Our survey results revealed that the PLSR model had the most favorable performance, yielding an R2 value of 0.82 and an RMSE of 0.006%. In contrast, the ANN, SVR, and RF models demonstrated moderate to poor performance, with R2 values of 0.53, 0.27, and 0.18, respectively. Overall, our study highlights the potential of combining DRIFT-FTIR spectroscopy with multivariate analysis techniques to predict SOC in Sohag, Egypt. However, additional studies and research are needed to improve the accuracy or predictability of machine-learning models incorporated into DRIFT-FTIR analysis and to compare DRIFT-FTIR analysis techniques with conventional soil chemical measurements.
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Guerreiro, João Luiz. "Revisitando o Cultura Viva e os pontos de cultura." PragMATIZES - Revista Latino-Americana de Estudos em Cultura 14, no. 26 (2024): 122–43. http://dx.doi.org/10.22409/pragmatizes.v14i26.61238.

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Neste artigo procuro refletir sobre os 10 anos da Lei Cultura Viva e os 20 anos do Programa Nacional Cultura Viva. Partindo dos debates sobre a criação do Ministério da Cultura, ainda no final do regime ditatorial de vigente entre 1964 e 1985, passo pelas discussões sobre as políticas públicas de cultura que poderiam ser direcionadas para grupos comunitários, periféricos e fora do eixo Rio-São Paulo mesmo no governo José Sarney através de uma proposta mais abrangente de utilização da lei de incentivo federal à cultura apresentada pelo então ministro Celso Furtado. Trago o debate sobre alternativas às políticas de fomento direto e indiretos para o campo cultural procurando demonstrar que o caráter excludente dessas políticas não está desatrelado do perfil conservador dos grupos que privatizam o estado brasileiro. Com isso busco demonstrar o papel inovador, inclusivo e de alargamento desse mesmo estado a partir do Programa Cultura Viva, sem deixar de apontar as necessidades de aperfeiçoamento do programa, que, em 2014, se transforma em política de estado. Finalizo essas considerações apontando para os novos desafios que se somam a própria necessidade de se reconstruir as políticas públicas como um todo, e as de culturas, particularmente.
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Matos, Lucinea de Jesus, and Luan de Jesus Matos de Brito. "Incluir é um desafio nos processos das práticas educacionais." Brazilian Journal of Science 1, no. 4 (2022): 58–63. http://dx.doi.org/10.14295/bjs.v1i4.35.

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A inclusão se traduz na capacidade da escola em dar respostas eficazes à diferença de aprendizagem entre os alunos. Ela demanda que a escola se transforme em espaço de trocas na qual favoreça o ato de ensinar e de aprender entre todos, criando condições para que todos participem do processo de construção do conhecimento independente de suas características particulares. A inclusão requer também mudanças na gestão da escola, tornando-a mais democrática e participativa, compreendendo o espaço da escola como um verdadeiro campo de ações pedagógicas e sociais, no qual as pessoas sonham juntas e compartilham projetos comuns. Ela se caracteriza por seu caráter colaborativo, desenvolvendo valores e organizando o espaço da escola de modo que todos possam nele interagir sem que haja transtorno e constrangimento. A escola que inclui valoriza o papel social do aluno, pois repousa sobre o princípio da contribuição. Os professores que enfrentam o desafio da inclusão percebem que este processo modifica a vida escolar e a relação com os demais membros da sua escola, modificando inclusive sua formação e atitudes pessoal e profissional. A implementação da educação inclusiva implica em reconhecer as diferenças dos alunos e na consepção de que a aprendizagem é construida em cooperação.
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Book chapters on the topic "Soham Transform"

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Patil, Dinkar P. "APPLICATIONS OF SOHAMINTEGRAL TRANSFORM TO SOLVE VOLTERRA INTEGRAL EQUATIONS OF SECOND KIND." In Futuristic Trends in Contemporary Mathematics & Applications Volume 3 Book 1. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/v3bjcm1p2ch3.

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Many advanced scientific and engineering problems can be theoretically represented as linear Volterra integral equations. In this work, we use Soham transform for obtaining solution of Volterra integral equations of 2nd kind. To demonstrate the applicability of the Soham transform, some numerical problems were presented and solved by the Sohamtransform. Numerical results show that the Soham transform is very much useful to obtain the accurate solution of the 2nd kind Linear Volterra integral equations
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Conference papers on the topic "Soham Transform"

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Raghavendran, Prabakaran, Tharmalingam Gunasekar, and Saikat Gochhait. "Strengthening Cryptographic Protocols: Leveraging the Soham Transform’s Unique Capabilities." In 2024 5th International Conference on Data Analytics for Business and Industry (ICDABI). IEEE, 2024. https://doi.org/10.1109/icdabi63787.2024.10800575.

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