Dergiler / Turkish Journal of Mathematics / 2018 / Cilt: 42 - Sayı: 6

Existence of solution for some two-point boundary value fractional differential equations

Sayfa
2953–2964
Yayın Tarihi
2018-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, some examples are given to illustrate our results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:Secondly, we will adopt the method of successive approximations to obtain an approximate solution to our problem.
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Sonuç & Katkı:Finally, some examples are given to illustrate our results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.

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Bu Makaleye Atıf Yap

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

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