عنوان
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Using the Hilfer–Katugampola fractional derivative in initial-value Mathieu fractional differential equations with application to a particle in the plane
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Nonlinear fractional; Mathieu equations; Stability
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چکیده
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We examine a class of nonlinear fractional Mathieu equations with a damping term. The equation is an important equation of mathematical physics as it has many applications in various fields of the physical sciences. By utilizing Schauder’s fixed-point theorem, the existence arises of solutions for the proposed equation with the Hilfer–Katugampola fractional derivative, and an application is additionally examined. Two examples guarantee the obtained results.
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پژوهشگران
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عامل رهیل (نفر اول)، نورا تابوچه (نفر دوم)، جهاد الزبوت (نفر سوم)، محمداسماعیل سامعی (نفر چهارم)
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