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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, some examples are given to illustrate our results.
📌 3 Key Takeaways
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Objective & Hypothesis:Using a fixed point theorem, we establish the existence of a solution for a class of boundary value fractional differential equation.
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Key Findings & Data:Secondly, we will adopt the method of successive approximations to obtain an approximate solution to our problem.
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Conclusion & Impact:Finally, some examples are given to illustrate our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractional differential equations · Riemann-Liouville fractional derivative · existence of solutions
Abstract
Using a fixed point theorem, we establish the existence of a solution for a class of boundary value fractional differential equation. Secondly, we will adopt the method of successive approximations to obtain an approximate solution to our problem. Furthermore, using the Laplace transform technique, an explicit solution to a particular case of our problem is obtained. Finally, some examples are given to illustrate our results.
Keywords
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Cite This Article
ISIFE, K. İ. (2018). Existence of solution for some two-point boundary value fractional differential equations. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 2953–2964. https://ajindex.com/articles/220596