Accès libre

Some new existence results for fractional partial random nonlocal differential equations with delay

À propos de cet article

Citez

Abbas, Saïd, Dumitru Baleanu, and Mouffak Benchohra. “Global attractivity for fractional order delay partial integro-differential equations.” Adv. Difference Equ. (2012): Article No. 62. Cited on 135. Search in Google Scholar

Abbas, Saïd, and Mouffak Benchohra. “Darboux problem for perturbed partial differential equations of fractional order with finite delay.” Nonlinear Anal. Hybrid Syst. 3, no. 4 (2009): 597-604. Cited on 135 and 139. Search in Google Scholar

Abbas, Saïd, Mouffak Benchohra, John R. Graef, and Johnny Henderson. Implicit Fractional Differential and Integral Equations: Existence and Stability. Vol. 26 of De Gruyter Series in Nonlinear Analysis and Applications. Walter de Gruyter GmbH & Co KG, 2018. Cited on 135. Search in Google Scholar

Abbas, Saïd, Mouffak Benchohra, and Gaston Mandata N’Guérékata. Topics in Fractional Differential Equations. Vol. 27 of Developments in Mathematics. Springer: New York, 2012. Cited on 135 and 139. Search in Google Scholar

Abbas, Saïd, Mouffak Benchohra, and Gaston Mandata N’Guérékata. Advanced Fractional Differential and Integral Equations. Nova Science Publishers: New York, 2014. Cited on 135. Search in Google Scholar

Abbas, Said, Mouffak Benchohra, and Yong Zhou. “Darboux problem for tractional order neutral functional partial hyperbolic differential equations.” Int. J. Dynam. Systems Differ. Equa. 2, no. 3-4 (2009): 301-312. Cited on 135. Search in Google Scholar

Adigüzel, Rezan Sevinik, et. al. “On the solution of a boundary value problem associated with a fractional differential equation.” Math. Methods Appl. Sci. (2020): 1-12. Cited on 135. Search in Google Scholar

Adigüzel, Rezan Sevinik, et. al. “On the solutions of fractional differential equations via Geraghty type hybrid contractions.” Appl. Comput. Math. 20, no. 2 (2021): 313-333. Cited on 135. Search in Google Scholar

Sevinik-Adıgüzel, Rezan, et. al. “Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions.” Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 115, no. 3 (2021): Paper No. 155. Cited on 135. Search in Google Scholar

Afshari, Hojjat, and Erdal Karapınar. “A discussion on the existence of positive solutions of the boundary value problems via ψ -Hilfer fractional derivative on b-metric spaces.” Adv. Difference Equ. (2020): Paper No. 616. Cited on 135. Search in Google Scholar

Ahmad, Bashir, et. al. “Random solutions for generalized Caputo periodic and non-local boundary value problems.” Foundations. 3, no. 2 (2023): 275-289. Cited on 136. Search in Google Scholar

Ahmad, Bashir, et. al. Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities. Springer: Cham, 2017. Cited on 135. Search in Google Scholar

Ahmad, Bashir, and Juan Jose Nieto. “Riemann-Liouville fractional differential equations with fractional boundary conditions.” Fixed Point Theory 13, no. 2 (2012): 329-336. Cited on 135. Search in Google Scholar

Appell, Jürgen. “Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator.” J. Math. Anal. Appl. 83, no. 1 (1981): 251-263. Cited on 138. Search in Google Scholar

Ayerbee Toledano, José María, Tomás Dominguez Benavides, and Genaro Lopez Acedo. Measures of Noncompactness in Metric Fixed Point Theory. Vol. 99 of Operator Theory: Advances and Applications. Birkhäuser: Basel–Boston–Berlin, 1997. Cited on 138. Search in Google Scholar

Baleanu, Dumitru, et. al. “Existence, uniqueness and Hyers-Ulam stability of random impulsive stochastic integro-differential equations with nonlocal conditions.” AIMS Math. 8, no. 2 (2023): 2556-2575. Cited on 136. Search in Google Scholar

Bharucha-Reid, Albert Turner. Random Integral Equations. Vol. 96 of Mathematics in Science and Engineering. Academic Press: New York, 1972. Cited on 136. Search in Google Scholar

Bothe, Dieter. “Multivalued perturbation of m-accretive differential inclusions” Israel J. Math. 108 (1998): 109-138. Cited on 139. Search in Google Scholar

Engl, Heinz W. “A general stochastic fixed-point theorem for continuous random operators on stochastic domains” J. Math. Anal. Appl. 66, no. 1 (1978): 220-231. Cited on 138 and 142. Search in Google Scholar

Harikrishnan, Sugumaran, Elsayed Mohammed Elsayed, and Kuppusamy Kanagarajan. “Study on random Langevin differential equations with fractional derivative with respect to another function.” Nonlinear Stud. 29, no. 4 (2022): 1079-1096. Cited on 136. Search in Google Scholar

Itoh, Shigeru. “Random fixed-point theorems with an application to random differential equations in Banach spaces.” J. Math. Anal. Appl. 67, no. 2 (1979): 261-273. Cited on 137. Search in Google Scholar

Karapınar, Erdal, et. al. “On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems.” Adv. Difference Equ. (2021): Paper No. 70. Cited on 135. Search in Google Scholar

Benchohra, Mouffak, et. al. “Controllability of second order functional random differential equations with delay.” Mathematics 10, no. 7 (2022): Article No. 1120. Cited on 136. Search in Google Scholar

Kilbas, Anatoly A., Hari Mohan Srivastava, and Juan J. Trujillo. Theory and Applications of Fractional Differential Equations. Vol. 204 of North-Holland Mathematics Studies. Amsterdam: Elsevier Science B.V, 2006. Cited on 135. Search in Google Scholar

Ladde, Gangaram Shivlingappa, and Vangipuram Lakshmikantham. Random Differential Inequalities. New York: Academic Press, 1980. Cited on 136. Search in Google Scholar

Liu, Meng, Liangzhou Chen, and Xiao-Bao Shu. “The existence of positive solutions for -Hilfer fractional differential equation with random impulses and boundary value conditions.” Waves Random Complex Media. (2023): 1-19. Cited on 136. Search in Google Scholar

Liu, Lishan, et. al. “Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces.” J. Math. Anal. Appl. 309, no. 2 (2005): 638-649. Cited on 139. Search in Google Scholar

Mönch, Harald. “Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces.” Nonlinear Anal. 4, no. 5 (1980): 985-999. Cited on 139. Search in Google Scholar

Podlubny, Igor. Fractional differential equations. San Diego: Academic Press, 1999. Cited on 135. Search in Google Scholar

Salim, Abdelkrim, et. al. “Global stability results for Volterra-Hadamard random partial fractional integral equations.” Rend. Circ. Mat. Palermo (2) 72, no. 3 (2023): 1783-1795. Cited on 136. Search in Google Scholar

Salim, Abdelkrim, et. al. “On k-Generalized ψ-Hilfer Impulsive Boundary Value Problem with Retarded and Advanced Arguments.” J. Math. Ext. 15 (2021): Paper no. 20. Cited on 135. Search in Google Scholar

Salim, Abdelkrim, et. al. “Boundary value problem for nonlinear implicit generalized Hilfer-type fractional differential equations with impulses.” Abstr. Appl. Anal. (2021): Art. ID 5592010. Cited on 135. Search in Google Scholar

Salim, Abdelkrim, et. al. “Initial value problem for hybrid ψ -Hilfer fractional implicit differential equations” J. Fixed Point Theory Appl. 24, no. 1 (2022): Paper No. 7. Cited on 135. Search in Google Scholar

Salim, Abdelkrim, Mokhtar Boumaaza, and Mouffak Benchohra. “Random solutions for mixed fractional differential equations with retarded and advanced arguments.” J. Nonlinear Convex Anal. 23, no. 7 (2022): 1361-1375. Cited on 136. Search in Google Scholar

Tsokos, Chris Peter, and William Jowayne Padgett. Random Integral Equations with Applications to Life Sciences and Engineering. New York: Academic Press, 1974. Cited on 136. Search in Google Scholar

Vityuk, Aleksandr N., and A. V. Golushkov. “Existence of solutions of systems of partial differential equations of fractional order.” Nonlinear Oscil. 7, no. 3 (2004): 328-335. Cited on 135 and 138. Search in Google Scholar

eISSN:
2300-133X
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics