existence and uniqueness results for a nonlinear differential equations of arbitrary order

Authors

mohamed houas

maamar benbachir

abstract

this paper studies a fractional boundary value problem of nonlineardifferential equations of arbitrary orders. new existence and uniquenessresults are established using banach contraction principle. other existenceresults are obtained using schaefer and krasnoselskii fixed point theorems.in order to clarify our results, some illustrative examples are alsopresented.

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Journal title:
international journal of nonlinear analysis and applications

Publisher: semnan university

ISSN

volume 6

issue 2 2015

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