A sequential fractional differential problem of pantograph type: existence uniqueness and illustrations

Belarbi, SoumiaDahmani, ZoubirSarikaya, Mehmet Zeki2021-12-012021-12-0120211300-00981303-6149https://doi.org/10.3906/mat-2108-81https://hdl.handle.net/20.500.12684/10519In this study, a new class of sequential fractional differential problems of pantograph type is introduced. New existence and uniqueness criteria for the existence and uniqueness of solutions are discussed. Some existence results using Darbo's fixed point and measure of noncompactness are also studied. At the end, two illustrative examples are discussed.en10.3906/mat-2108-81info:eu-repo/semantics/closedAccessPantograph equationCaputo and phi Caputo derivativessequential differential equationEquationsRespectA sequential fractional differential problem of pantograph type: existence uniqueness and illustrationsArticle2-s2.0-85125545232WOS:000719342500001Q3