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OSCILLATORY BEHAVIOR OF Ψ-HILFER GENERALIZED PROPORTIONAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH MIXED NONLINEARITIES | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 خرداد 1405 اصل مقاله (1.19 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.66532.3118 | ||
| نویسندگان | ||
| Viji James1؛ Alzabut Jehad2؛ Velu Muthulakshmi* 1؛ Ozbekler Abdullah3 | ||
| 1Department of Mathematics, Periyar University, Salem-636 011, Tamilnadu, India. | ||
| 21. Department of Industrial Engineering, Ostim Technical University, Ankara 06374, Türkiye.\\ 2. Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia. | ||
| 3Ankara University, Faculty of Science, Department of Computer Science, Ankara, 06100, Türkiye. | ||
| چکیده | ||
| This paper deals with the forced oscillation of FDEs (Fractional Differential Equations) with mixed nonlinearities via Ψ-Hilfer GPFD (Generalized Proportional Fractional Derivative). Volterra integral equation and Young’s inequality are used to specify the appropriate conditions for each solution to oscillate. The effects of this study enhance and generalize earlier results in the literature. Examples are presented to illustrate the practicality of the outcomes. | ||
| کلیدواژهها | ||
| Oscillation theory؛ Fractional differential equations؛ Ψ-Hilfer generalized proportional fractional derivative؛ Mixed nonlinearity | ||
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آمار تعداد مشاهده مقاله: 12 تعداد دریافت فایل اصل مقاله: 11 |
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