Results 11 to 20 of about 196,053,663 (109)

Geraghty–𝔽‐Contraction Type Darbo Fixed‐Point Theorems With an Application

Journal of Mathematics
In this study, Darbo’s fixed‐point theorem is extended by employing Geraghty–𝔽‐contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C ([0, ς ...
Samira Hadi Bonab, Hasan Hosseinzadeh, Reza Alayi, Zoran Mitrovic, Shahla Hosseini   +4 more
openaire   +2 more sources

On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach Algebra

Journal of Mathematics
In this study, the solvability of a general form of product type of n-classes of 2D-Hadamard–Volterra integral equations in the Banach algebra C1,a×1,b is studied and investigated under more general and weaker assumptions.
Mohamed M. A. Metwali, Manochehr Kazemi, Shami A. M. Alsallami   +2 more
doaj   +2 more sources

New Extension of Darbo’s Fixed Point Theorem and Its Application to a System of Weighted-Fractional-Type Integral Equations

Mathematics
In this article, we introduce several new extensions of Darbo’s fixed point theorem with newly constructed contraction functions associated with the measure of noncompactness. We apply our new extensions to prove the existence of solutions for a system of weighted fractional integral equations in Banach space BC(R+). At the end, we establish an example
Marija Paunović, Ana Savić, Hemanta Kalita, Sudip Deb, Vahid Parvaneh   +4 more
openaire   +3 more sources

Measures of Noncircularity and Fixed Points of Contractive Multifunctions [PDF]

Fixed Point Theory and Applications, 2010
In analogy to the Eisenfeld-Lakshmikantham measure of nonconvexity and the Hausdorff measure of noncompactness, we introduce two mutually equivalent measures of noncircularity for Banach spaces satisfying a Cantor type property, and apply them to ...
Marrero Isabel
doaj   +2 more sources

Solution of a Fractional Integral Equation Using the Darbo Fixed Point Theorem [PDF]

, 2022
The concept of measure of noncompactness in a Banach space is used in this paper to extend some tripled fixed point theorems. We prove the existence of fractional integral equation solutions using a generalized Darbo fixed point theorem.
Marija V. Paunović, Vahid Parvaneh, Bhuban Chandra Deuri, Das, Anupam, Parvaneh, Vahid, Chandra Deuri B., Paunović, Marija, Anupam Das   +7 more
core   +1 more source

Hölder-type spaces, singular operators, and fixed point theorems

, 2021
In this note, we give a sufficient condition for the existence of Hölder-type solutions to a class of fractional initial value problems involving Caputo derivatives.
Sadarangani, Kishin, Reinwand, Simon, Appell, Jürgen, López, Belén, Dutkiewicz, Aldona, López Brito, María Belén, Dutkiewicz, A., Sadarangani Sadarangani, Kishin Bhagwands, Reinwand, S., Appell, J., Jürgen Appell, Belén López, Aldona Dutkiewicz   +12 more
core   +2 more sources

On System of Mixed Fractional Hybrid Differential Equations

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this article, we find the necessary conditions for the existence and uniqueness of solutions to a system of hybrid equations that contain mixed fractional derivatives (Caputo and Riemann‐Liouville). We also verify the stability of these solutions using the Ulam‐Hyers (U‐H) technique.
Muath Awadalla, Nazim I. Mahmudov, Hüseyin Işık   +2 more
wiley   +1 more source

On Solutions of Hybrid–Sturm‐Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The main intention of this research article is to introduce a new class of generalized fractional differential equations that fall into the categories of Sturm‐Liouville’s, Langevin’s, and hybrid’s problems involving Y‐Caputo fractional derivatives.
Abdellatif Boutiara, Hanan A. Wahash, Heba Y. Zahran, Emad E. Mahmoud, Abdel-Haleem Abdel-Aty, El Sayed Yousef, Yusuf Gurefe   +6 more
wiley   +1 more source

Solvability of Implicit Fractional Order Integral Equation in ℓp(1 ≤ p<∞) Space via Generalized Darbo’s Fixed Point Theorem

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
We present a generalization of Darbo’s fixed point theorem in this article, and we use it to investigate the solvability of an infinite system of fractional order integral equations in ℓp(1 ≤ p<∞) space. The fundamental tool in the presentation of our proofs is the measure of noncompactness (mnc) approach.
Inzamamul Haque, Javid Ali, M. Mursaleen, Reny George   +3 more
wiley   +1 more source

Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam‐Hyers‐Rassias Stability

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The existence aspects along with the stability of solutions to a Hadamard variable order fractional boundary value problem are investigated in this research study. Our results are obtained via generalized intervals and piecewise constant functions and the relevant Green function, by converting the existing Hadamard variable order fractional boundary ...
Shahram Rezapour, Zoubida Bouazza, Mohammed Said Souid, Sina Etemad, Mohammed K. A. Kaabar, Tianqing An   +5 more
wiley   +1 more source