existence and uniqueness of positive and nondecreasing solution for nonlocal fractional boundary value problem

نویسندگان

rahmat darzi

department of mathematics, neka branch, islamic azad university, neka, iran bahram agheli

department of mathematics, qaemshahr branch, islamic azad university, qaemshahr, iran

چکیده

in this article, we verify existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem of fractional differential equation in the form d_{0^{+}}^{alpha}x(t)+f(t,x(t))=0, 0x(0)= x'(0)=0, x'(1)=beta x(xi), where $d_{0^{+}}^{alpha}$ denotes the standard riemann-liouville fractional derivative, 0an illustrative example is also presented.

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عنوان ژورنال:
computational methods for differential equations

جلد ۳، شماره ۲، صفحات ۱۲۳-۱۳۳

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