کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1137949 1489189 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the nonlinear Hammerstein integral equations in Banach spaces and application to the boundary value problem of fractional order
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
On the nonlinear Hammerstein integral equations in Banach spaces and application to the boundary value problem of fractional order
چکیده انگلیسی

In this paper, we study the existence of solutions of the operator equations p+λGfx=xp+λGfx=x in the Banach space C[I,E]C[I,E]. It is assumed the vector-valued function ff is nonlinear Pettis-integrable. Some additional assumptions imposed on ff are expressed in terms of a weak measure of noncompactness. To encompass the full scope of the paper, we investigate the existence of pseudo-solutions for the nonlinear boundary value problem of fractional type −dαdtαx(t)=λf(t,x(t)),a.e. on [0,1],x(0)=x(1)=0,α∈(1,2], under the Pettis integrability assumption imposed on ff.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 48, Issues 7–8, October 2008, Pages 1178–1190
نویسندگان
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