Existence of positive solution to a class of boundary value problems of fractional differential equations
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 95
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شناسه ملی سند علمی:
JR_CMDE-4-1_002
تاریخ نمایه سازی: 15 اسفند 1401
چکیده مقاله:
This paper is devoted to the study of establishing sufficient conditions for existence and uniqueness of positive solution to a class of non-linear problems of fractional differential equations. The boundary conditions involved Riemann-Liouville fractional order derivative and integral. Further, the non-linear function f contain fractional order derivative which produce extra complexity. Thank to classical fixed point theorems of nonlinear alternative of Leray-Schauder and Banach Contraction principle, sufficient conditions are developed under which the proposed problem has at least one solution. An example has been provided to illustrate the main results.
کلیدواژه ها:
Boundary value problem ، Existence and uniqueness results ، Fractional differential differential equations ، Classical fixed point theorem
نویسندگان
Amjad Ali
Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
Kamal Shah
Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
Rahmat Ali Khan
Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan