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   second-order abstract cauchy problem of conformable fractional type  
   
نویسنده khalil roshdi ,alsharif sharifa ,khamis sara
منبع international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 2 - صفحه:1143 -1150
چکیده    In this paper, we discuss atomic solutions of the second-order abstract cauchy problem of conformable fractional type u (2α) (t) + bu(α) (t) + au(t) = f(t) u(0) = u0, u (α) (0) = u (α) 0 , where a, b are closed linear operators on a banach space x, f : [0, ∞) → x is continuous and u is a continuously differentiable function on [0, ∞). some new results on atomic solutions using tensor product technique are obtained.
کلیدواژه inverse problem; fractional derivative; tensor product of banach spaces; atomic solution
آدرس jordan university, department of mathematics, jordan, yarmouk university, department of mathematics, jordan, lusail university, department of mathematics, qatar
پست الکترونیکی sarahkhamis@yahoo.com; skhamis@lu.edu.qa
 
     
   
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