existence and uniqueness of positive and nondecreasing solution for nonlocal fractional boundary value problem
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abstract
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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Journal title:
computational methods for differential equationsجلد ۳، شماره ۲، صفحات ۱۲۳-۱۳۳
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