Bouharket Bendouma, Alberto Cabada, Ahmed Hammoudi (2019)
Archivum Mathematicum
Similarity:
In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is -carathéodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.
Nassim Guerraiche, Samira Hamani, Johnny Henderson (2016)
Archivum Mathematicum
Similarity:
We establish sufficient conditions for the existence of solutions of a class of fractional functional differential inclusions involving the Hadamard fractional derivative with order . Both cases of convex and nonconvex valued right hand side are considered.
Praveen Agarwal, Juan J. Nieto (2015)
Open Mathematics
Similarity:
In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.
Amouria Hammou, Samira Hamani, Johnny Henderson (2022)
Archivum Mathematicum
Similarity:
In this article, we study the existence of solutions in a Banach space of boundary value problems for Caputo-Hadamard fractional differential inclusions of order .
George A. Anastassiou (2016)
Applicationes Mathematicae
Similarity:
We introduce left general fractional Caputo style derivatives with respect to an absolutely continuous strictly increasing function g. We give various examples of such fractional derivatives for different g. Let f be a p-times continuously differentiable function on [a,b], and let L be a linear left general fractional differential operator such that L(f) is non-negative over a closed subinterval I of [a,b]. We find a sequence of polynomials Qₙ of degree ≤n such that L(Qₙ) is non-negative...
Branislav Martić (1973)
Publications de l'Institut Mathématique
Similarity:
Helena Musielak (1973)
Colloquium Mathematicae
Similarity:
B. Martić (1964)
Matematički Vesnik
Similarity:
Masayoshi Hata (2005)
Acta Arithmetica
Similarity:
Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi (2019)
Applications of Mathematics
Similarity:
We introduce fractional-order Bessel functions (FBFs) to obtain an approximate solution for various kinds of differential equations. Our main aim is to consider the new functions based on Bessel polynomials to the fractional calculus. To calculate derivatives and integrals, we use Caputo fractional derivatives and Riemann-Liouville fractional integral definitions. Then, operational matrices of fractional-order derivatives and integration for FBFs are derived. Also, we discuss an error...
Sotiris K. Ntouyas, Sorasak Laoprasittichok, Jessada Tariboon (2015)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
In this paper we study an existence result for initial value problems for hybrid fractional integro-differential inclusions. A hybrid fixed point theorem for a sum of three operators due to Dhage is used. An example illustrating the obtained result is also presented.
Marko Kostić (2018)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
In this paper, we investigate a class of abstract degenerate fractional differential equations with Caputo derivatives. We consider subordinated fractional resolvent families generated by multivalued linear operators, which do have removable singularities at the origin. Semi-linear degenerate fractional Cauchy problems are also considered in this context.
Sandeep P. Bhairat, Dnyanoba-Bhaurao Dhaigude (2019)
Mathematica Bohemica
Similarity:
This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. Illustrative examples are also given.