New generalized integral transform via Dzherbashian-Nersesian fractional operator
DOI:
https://doi.org/10.11121/ijocta.1449Keywords:
Fractional Dzherbashian--Nersesian operator, Fractional derivatives, Integral transform, Jafari transform, Cauchy-type problemsAbstract
In this paper, we derive a new generalized integral transform on Dzherbashian–Nersesian fractional operator and give some special cases. We make a generalization of the application of integral transformations to different fractional operators, where several previous results can be invoked from a single relation. We also use the new results obtained to solve some fractional differential equations involving the recent revival of Dzherbashian-Nersesian fractional operators.
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