Abstract
In this paper, the fractional pantograph equations in quantum calculus are studied. We propose a q-fractional variant of the nonlinear pantograph equation with a given initial condition and a nonlinear neutral q-fractional pantograph equation. Based on the fixed-point theory, the main theorems provide some new results regarding the existence and uniqueness of solutions for q-fractional pantograph equations.
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This work was supported by the National Key R & D Program of China (Grant No. 2018YFB1005100).
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Kosari, S., Shao, Z., Yadollahzadeh, M. et al. Existence and Uniqueness of Solution for Quantum Fractional Pantograph Equations. Iran J Sci Technol Trans Sci 45, 1383–1388 (2021). https://doi.org/10.1007/s40995-021-01124-1
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DOI: https://doi.org/10.1007/s40995-021-01124-1