Analysis and numerical simulation of fractional Bloch model arising in magnetic resonance imaging using novel iterative technique

Rahul,; Prakash, Amit

doi:10.1007/s11082-023-06123-7

Opt Quant Electron

2024

DOI: 10.1007/s11082-023-06123-7

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Analysis and numerical simulation of fractional Bloch model arising in magnetic resonance imaging using novel iterative technique

Rahul,

Amit Prakash

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2024

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Analysis and numerical simulation of generalized time-fractional Cattaneo model for heat conduction in porous medium

Prakash,

Kumar

2024

Mod. Phys. Lett. B

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In this paper, we employed a novel technique with the help of the Daftardar-Gejji and Jafari method (DGJM) to solve the generalized time-fractional Cattaneo model (GTFCM) via Caputo derivative with order [Formula: see text]. The existence and uniqueness of solutions are examined using Banach’s fixed-point theorem, and stability is evaluated under Ulam–Hyers conditions. We compared our results with the exact solution and existing techniques, demonstrating our approach’s efficiency.

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Analysis and numerical simulation of generalized time-fractional Cattaneo model for heat conduction in porous medium

Prakash,

Kumar

2024

Mod. Phys. Lett. B

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Analysis and numerical simulation of fractional Bloch model arising in magnetic resonance imaging using novel iterative technique

Cited by 1 publication

References 53 publications

Analysis and numerical simulation of generalized time-fractional Cattaneo model for heat conduction in porous medium

Analysis and numerical simulation of generalized time-fractional Cattaneo model for heat conduction in porous medium

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