DOAJ Open Access 2024

Analysis of Caputo Sequential Fractional Differential Equations with Generalized Riemann–Liouville Boundary Conditions

Nallappan Gunasekaran Murugesan Manigandan Seralan Vinoth Rajarathinam Vadivel

Abstrak

This paper delves into a novel category of nonlocal boundary value problems concerning nonlinear sequential fractional differential equations, coupled with a unique form of generalized Riemann–Liouville fractional differential integral boundary conditions. For single-valued maps, we employ a transformation technique to convert the provided system into an equivalent fixed-point problem, which we then address using standard fixed-point theorems. Following this, we evaluate the stability of these solutions utilizing the Ulam–Hyres stability method. To elucidate the derived findings, we present constructed examples.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (4)

Nallappan Gunasekaran

Murugesan Manigandan

Seralan Vinoth

Rajarathinam Vadivel

Format Sitasi

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Gunasekaran, N., Manigandan, M., Vinoth, S., Vadivel, R. (2024). Analysis of Caputo Sequential Fractional Differential Equations with Generalized Riemann–Liouville Boundary Conditions. https://doi.org/10.3390/fractalfract8080457

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.3390/fractalfract8080457
Akses: Open Access ✓