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Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2023 / Cilt: 7 Sayı: 2

SOLUTION TO A SYSTEM OF NON-LINEAR FUZZY DIFFERENTIAL EQUATION WITH GENERALIZED HUKUHARA DERIVATIVE VIA FIXED POINT THEOREM

Sushma Basil(PSGR Krishnammal College for Women)0000-0003-3438-8464
Santhi Antony(PSG College of Technology)0000-0001-7715-8533
Sayfa
473–485
Yayın Tarihi
2023-07-23
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

As an inference, we use the result to analyze the existence of a solution for a non-linear system of fuzzy initial value problem involving generalized Hukuhara derivative.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this manuscript, we define a new class of control functions classified as ascendant functions.
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Temel Bulgular & Veri:Consequently, we furnish a fuzzy coupled fixed point result, that is different from one available in the literature, using the notion of simulation function; in follow, we validate the result through a non-trivial example.
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Sonuç & Katkı:As an inference, we use the result to analyze the existence of a solution for a non-linear system of fuzzy initial value problem involving generalized Hukuhara derivative.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Simulation function · Fuzzy mappings · Fuzzy coupled fixed point

Abstract

In this manuscript, we define a new class of control functions classified as ascendant functions. Consequently, we furnish a fuzzy coupled fixed point result, that is different from one available in the literature, using the notion of simulation function; in follow, we validate the result through a non-trivial example. As an inference, we use the result to analyze the existence of a solution for a non-linear system of fuzzy initial value problem involving generalized Hukuhara derivative.

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Bu Makaleye Atıf Yap

Basil, S., Antony, S. (2023). SOLUTION TO A SYSTEM OF NON-LINEAR FUZZY DIFFERENTIAL EQUATION WITH GENERALIZED HUKUHARA DERIVATIVE VIA FIXED POINT THEOREM. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 7 Sayı: 2, 473–485. https://doi.org/10.31197/atnaa.1232379

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