DOAJ Open Access 2023

Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects

Naima Hakkar Rajesh Dhayal Amar Debbouche Delfim F. M. Torres

Abstrak

We herein report a new class of impulsive fractional stochastic differential systems driven by mixed fractional Brownian motions with infinite delay and Hurst parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi mathvariant="script">H</mi><mo>^</mo></mover><mo>∈</mo><mrow><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. Using fixed point techniques, a <i>q</i>-resolvent family, and fractional calculus, we discuss the existence of a piecewise continuous mild solution for the proposed system. Moreover, under appropriate conditions, we investigate the approximate controllability of the considered system. Finally, the main results are demonstrated with an illustrative example.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (4)

Naima Hakkar

Rajesh Dhayal

Amar Debbouche

Delfim F. M. Torres

Format Sitasi

APA MLA BibTeX

Hakkar, N., Dhayal, R., Debbouche, A., Torres, D.F.M. (2023). Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects. https://doi.org/10.3390/fractalfract7020104

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.3390/fractalfract7020104

Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3390/fractalfract7020104
Akses: Open Access ✓