EXISTENCE THEORY TO A CLASS OF FRACTIONAL ORDER HYBRID DIFFERENTIAL EQUATIONS

Muhammad Naeem Jan,Gul Zaman,Imtiaz Ahmad,Nigar Ali,Kottakkaran Sooppy Nisar,Abdel-Haleem Abdel-Aty,M. Zakarya

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY（2022）

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摘要

In this paper, we develop the theory of fractional order hybrid differential equations involving Riemann-Liouville differential operators of order l is an element of (0, 1). We study the existence theory to a class of boundary value problems for fractional order hybrid differential equations. The sum of three operators is used to prove the key results for a couple of hybrid fixed point theorems. We obtain sufficient conditions for the existence and uniqueness of positive solutions. Moreover, examples are also presented to show the significance of the results.

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关键词

Boundary Value Problems, Lipchitz Condition, Lebesgue Dominated Convergence Theorem, Completely Continuous Operator, Fractional Differential Equations

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