Abstract
Mathematics is a powerful tool for global understanding and communication that organizes our lives and encourages the ability to solve problems. One of the most important aspects of mathematics is differential and integral equations, the real power of equations is that they provide a very precise way to describe various features of the world. In this article, we introduce an effective method to solve integral equations and integro-differential equations. We use the new transform called the formable integral transform for solving the Volterra integral equations of the second kind and integro-differential equations. To show the simplicity and applicability of the method, we introduce some examples and apply the transform to get the exact solutions.
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Saadeh, R., Ghazal, B., Gharib, G. (2023). Applications on Formable Transform in Solving Integral Equations. In: Zeidan, D., Cortés, J.C., Burqan, A., Qazza, A., Merker, J., Gharib, G. (eds) Mathematics and Computation. IACMC 2022. Springer Proceedings in Mathematics & Statistics, vol 418. Springer, Singapore. https://doi.org/10.1007/978-981-99-0447-1_4
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DOI: https://doi.org/10.1007/978-981-99-0447-1_4
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