In this paper, we solve the existence and uniqueness of a solution for a fractional differential equation by introducing some new fixed point results for rational ($ \alpha $, $ \beta $, $ \psi $)-contractions in the framework of orthogonal $ \mathcal{F} $-metric spaces. We derive some well-known results in literature as consequences of our leading result.
Citation: Mohammed H. Alharbi, Jamshaid Ahmad. Solution of fractional differential equation by fixed point results in orthogonal $ \mathcal{F} $-metric spaces[J]. AIMS Mathematics, 2023, 8(11): 27347-27362. doi: 10.3934/math.20231399
In this paper, we solve the existence and uniqueness of a solution for a fractional differential equation by introducing some new fixed point results for rational ($ \alpha $, $ \beta $, $ \psi $)-contractions in the framework of orthogonal $ \mathcal{F} $-metric spaces. We derive some well-known results in literature as consequences of our leading result.
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Mohammed H. Alharbi, Jamshaid Ahmad. Solution of fractional differential equation by fixed point results in orthogonal $ \mathcal{F} $-metric spaces[J]. AIMS Mathematics, 2023, 8(11): 27347-27362. doi: 10.3934/math.20231399
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