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theory of hybrid fractional differential equations with complex order
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نویسنده
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vivek devaraj ,baghani omid ,kanagarajan kuppusamy
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منبع
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sahand communications in mathematical analysis - 2019 - دوره : 15 - شماره : 1 - صفحه:65 -76
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چکیده
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We develop the theory of hybrid fractional differentialequations with the complex order θ ∈ c, θ = m + iα, 0 < m ≤ 1, α ∈ r, in caputo sense. using dhage's type fixed point theorem for the product of abstract nonlinear operators in banach algebra;one of the operators is d- lipschitzian and the other one is com-pletely continuous, we prove the existence of mild solutions of initial value problems for hybrid fractional differential equations. finally, an application to solve one-variable linear fractional schrodinger equation with complex order is given.
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کلیدواژه
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hybrid fractional differential equations ,initial value prob-lem ,complex order ,dhage’s fixed point theorems ,existence of mild solution
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آدرس
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sri ramakrishna mission vidyalaya college of arts and science, department of mathematics, india, hakim sabzevari university, faculty of mathematics and computer sciences, department of applied mathematics, iran, sri ramakrishna mission vidyalaya college of arts and science, department of mathematics, india
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پست الکترونیکی
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kanagarajank@gmail.com
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Authors
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